# can the complement of an angle be obtuse

4. FALSE. Sum of two right angles is 180° which is double the sum of two complementary angles. This is an example of complementary angles example But it is not necessary that the two complementary angles are always adjacent to each other. Triangle ABC above is classified as an obtuse triangle since angle A is between 90° and 180°. In the adjoining figure, name the following pairs of angles: 1. Complementary angles are angle pairs that add up to exactly 90 o. both angles in a complementary pair are acute. Obtuse triangle. Straight Angle Geometrically, an obtuse triangle can be constructed by using geometric tools. Obtuse Angle. (ii) Obtuse Angle- An obtuse angle has a measurement greater then 90° but less than 180°. (Complements are 90 degree angles, and obtuse angles are over 90 degrees as it is.) Since they are complements, their sum is 90 degrees. The two angles can be part of the same or different figures. 5. (a) Two acute angles can be complementary to each other (b) Two obtuse angles can be complementary to each other (c) Two right angles can be complementary to each other (d) One obtuse angle and one acute angle can be complementary to each other. Complementary angles are two angles that add up to 90 degrees.. an obtuse angle has a supplement. Equivalence angle pairs. Can an acute angle be adjacent to an obtuse angle? Explanation: Angle equal to 90 o is called right angle. View solution. 3. Only two angles can sum to 180 °-- three or more angles may sum to 180 ° or π radians, but they are not considered supplementary; The two angles must either both be right angles, or one must be an acute angle and the other an obtuse angle; Try It! The smaller angle is an Obtuse Angle, but the larger angle is a Reflex Angle: If you choose the larger angle you have a Reflex Angle (more than 180° but less than 360°) instead: Types of Angles Acute Angles Right Angles Straight Angle Reflex Angles Degrees (Angle) Geometry Index. One angle is the complement of the other angle. Here are eight sets of angles in degrees. Question: Can a complement if an angle be an obtuse angle. So you wouldn't be able to take the comp. So, let’s construct it firstly and then focus on studying its geometric properties practically. the same magnitude) are said to be equal or congruent.An angle is defined by its measure and is not dependent upon the lengths of the sides of the angle (e.g. Complementary Angles. Straight Angle. An obtuse angle would never have a complement since obtuse is over 90 and comp. In complementary angles one angle is a complement of the other making a sum of 90 0 or you can say forming a right angle. Find the angle which is supplementary of itself. Unequal supplementary angles. As, the sum of the angles of a quadrilateral is 360°, then may have maximum of three obtuse angles. angle that is complement of itself is 45°. If a = 3 b, find a and b. Equal supplementary angles. weegy* * Get answers from Weegy and a team of really smart live experts. Examples of obtuse angles are: 100°, 120°, 140°, 160°, 170° etc. That's OK, but try to avoid less than 90° angles. Whenever a triangle is classified as obtuse, one of its interior angles has a measure between 90° and 180°. Answer: (a) sometimes. Examples of Complementary Angles. Question 3: Can two right angles complement each other? Complementary Angles and Supplementary angles - relationships of various types of paired angles, Word Problems on Complementary and Supplementary Angles solved using Algebra, Create a system of linear equations to find the measure of an angle knowing information about its complement and supplement, in video lessons with examples and step-by-step solutions. You can study other questions, MCQs, videos and tests for Class 9 on EduRev and even discuss your questions like If two angles are complementary of each other, then each angle is :a)An Obtuse angleb)A Right anglec)An Acute angled)A supplementary angleCorrect answer is option 'C'. 3. No an obtuse angle is more than 90 degrees so it can't have a complement. This answer has been confirmed as correct and helpful. One special relationship is called complementary angles. never. False because the obtuse angle is to large to complement the right angle to diffrent angles can not be both of their compliments New questions in Mathematics. means 2 angles add to 90. A straight angle is nothing but a mixture of an obtuse angle and acute angle on a line. GET. Answer. Obtuse vertically opposite angles. Can two angles be supplementary if both of them are: (i) acute (ii) obtuse ... Show that if one of them is an obtuse angle, then the other angle must be acute. In other words, if two angles add up to form a right angle, then these angles are referred to as complementary angles. An obtuse angle is an angle whose measure is greater than \({90^\circ}\) and less than \({180^\circ}\). An obtuse angle is a type of angle whose degree measurement is more than 90° but less than 180°. It is not possible for a triangle to have more than one obtuse angle. Hence, it is not possible for two right angles to complement each other. 7. From the figure, we can say that ∠ABC + ∠CBD = 50 + 40 = 90 0. When the sum of two angles is 90°, then the angles are known as complementary angles. We know acute angles are angles whose measure is less than 90. Can two acute angles be complementary to each other ? Here, \(60^\circ+30^\circ = 90^\circ\) Hence, from the "Definition of C omplementary Angles", these two angles are complementary.. Each angle among the complementary angles is called the "complement" of the other angle. Although a right angle is 90 degrees, but it can’t be called a complementary … It is one-half of the whole turn of a circle. Never. ... My first instinct was to tell you that an obtuse angle does not have a complement. Obtuse Angle. When talking about complimentary angles, always remember that the angles appear in pairs. (iii) Complementary Angle- When sum of angle is 90° than they are called Complementary angles. 2. The term obtuse is also used in the context of triangles. The sum of twice the supplement of the obtuse angle and three times the complement of the acute angle is 340. In other words, when put together, the two angles form a right angle. Answers. pls check my answers thanks you Explain. 2. (iv) Interior of an angle- The area between the rays that make up an angle and extending away from vertex to infinity. The complement of the supplement of an obtuse angle is always: A) an acute angle B) an obtuse angle C) a straight angle D) a right angle Is it D? always. The supplement of an acute angle is an obtuse angle. Two lines intersect to form a linear pair with equal measures. Complementary angles are two angles that add up to exactly 90 °. Answer: No. Complementary angles are those two angles whose sum is 90 degree. The angle … If any two angles sum to exactly 90 °, then they are two complementary angles. Answer by radh(108) (Show Source): You can put this solution on YOUR website! Accordingly, can an angle be complementary to itself? a right angle has a supplement. There is also two 90° Ts at the top, and other places where traces leave the edges of pads. Reflex Angle Complementary angles add to 90 degrees. always. Suppose if one angle is x then the other angle will be 90 o – x. Yes. sometimes. If an angle is twice its complement, you can represent one angle as x and the other as 2x. 14. The measure of the straight angle is \({180^\circ}\). Thus, two obtuse angles cannot complement each other. A Company received an invoice for $2000 dated January 22 with terms 3/15,1/30,n/60. The angle formed by a straight line is called a straight angle. Angles can also be classified as obtuse, right, and straight, depending on the measure of their angles. 1. No, all the four angles of a quadrilateral cannot be obtuse. all right angles are equal in measure). Adjacent Complementary Angle. The angle which measures greater than 180° and less than 360° is known as the reflex angle. Confirmed by yumdrea [11/18/2016 7:51:55 PM] 33,085,607. questions answered. 130, 10 B. A. (in degree) View solution. Find an answer to your question “Determine whether or not the complement of an angle can be obtuse ...” in Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions. Try These: GET THE APP. This means that one angle is 30 deg. Added 11/17/2016 11:57:47 AM. Let one angle be 7 0 o and other angle is 8 0 o, then sum is 1 5 0 o which is obtuse angle. ∠ PQR is an obtuse angle because its less than 180° and greater than 90°. When identifying or measuring an acute angle, be careful about the rotation from one side of the angle to the other that produces the acute angle. So it's not possible for an obtuse angle to have a complementary angle. Note the various traces leaving pads at corners. In this case, \(\angle 1\) and \(\angle 2\) are called complements of each other.. One angle has the measure 3x° and the other angle has the measure (9y − 18)°. If you have a 40 degree angle and a 50 degree angle, their measure is 90 degrees. both angles in a supplementary pair are right. The sum of the measures of an acute angle and an obtuse angle is 140. a right angle has a complement. Adjacent angles that d° n°t f°rm a linear pair. An angle has a supplement . a. 2. Pair 1: ∠ 1 = 40° and ∠ 2 = 50° On adding ∠ 1 and ∠ 2; we get: ∠ 1 + ∠ 2 = 40° + 50° = 90° Pair 2: ∠ 3 = 15 and ∠ 4 = 75° This resulted from a combination of hand-routing and auto-routing. 2. math use the diagram to identify a segment parallel to EF 1.HG 2.HE 3.DC 4.GF 2.The measure of angle a is 124. classify the angle as acute,right,obtuse or straight help!!!!!! 3. And the other angle be 90-x. Construction. ; Two angles that share terminal sides, but differ in size by an integer multiple of a turn, are called coterminal angles. The complement of a right angle is an obtuse angle. An obtuse angle has a complement. Let one angle is 3 0 o and the other angle is 4 0 o then sum 7 0 o. which is an acute angle. 120, 20 C. 110, 30 D. 10, 40 always. Complementary angles do not need to be adjacent angles or oriented in the same direction. Adjacent complementary angles. Find the measures of the angles. if two angles are supplementary they they form a straight angle. Answer (i) Obtuse vertically opposite angles means greater than 90° and equal ∠AOD = ∠BOC. Reflex Angle. of an obtuse angle. In an obtuse triangle, one interior angle is an obtuse angle and remaining two interior angles are acute angles. So if two angles are complementary, then they are acute (ie less than 90 degrees). Two angles together are angle pairs. A linear pair is a pair of angles that are adjacent and form a line, 180°. Angles that have the same measure (i.e. Let one angle is 4 5 o and another angle is 4 5 o then sum is 9 0 o which is right angle. Sometimes, the measures of these angles form a special relationship. Here we say that the two angles complement each other. So let's take three pair of acute angles of any degree. Complementary angles are pair angles with the sum of 90 degrees. This guarantees greater than 90° angle. Adjacent angles or oriented in the adjoining figure, we can say that the two angles... Its less than 180° and less than 90 traces leave the edges of pads of pads degree. X and the other angle will be 90 o – x angles with the sum of the measures these... First instinct was to tell you that an obtuse triangle can be part of the direction... 7:51:55 PM ] 33,085,607. questions answered traces leave the edges of pads angles can not complement other... 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