# can the complement of an angle be obtuse

never. A. sometimes. An obtuse angle is an angle whose measure is greater than \({90^\circ}\) and less than \({180^\circ}\). So you wouldn't be able to take the comp. One angle is the complement of the other angle. GET THE APP. Answer: (a) If you have a 40 degree angle and a 50 degree angle, their measure is 90 degrees. Complementary Angles. Adjacent angles that d° n°t f°rm a linear pair. The two angles can be part of the same or different figures. 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. a right angle has a complement. Equivalence angle pairs. Geometrically, an obtuse triangle can be constructed by using geometric tools. The sum of the measures of an acute angle and an obtuse angle is 140. Sum of two right angles is 180° which is double the sum of two complementary angles. In an obtuse triangle, one interior angle is an obtuse angle and remaining two interior angles are acute angles. 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'. So it's not possible for an obtuse angle to have a complementary angle. Here we say that the two angles complement each other. Straight Angle. Obtuse triangle. One special relationship is called complementary angles. Adjacent Complementary Angle. If an angle is twice its complement, you can represent one angle as x and the other as 2x. Obtuse Angle. Obtuse vertically opposite angles. Examples of obtuse angles are: 100°, 120°, 140°, 160°, 170° etc. 3. No an obtuse angle is more than 90 degrees so it can't have a complement. Can an acute angle be adjacent to an obtuse angle? Question: Can a complement if an angle be an obtuse angle. If any two angles sum to exactly 90 °, then they are two complementary angles. Straight Angle From the figure, we can say that ∠ABC + ∠CBD = 50 + 40 = 90 0. 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. Adjacent complementary angles. Whenever a triangle is classified as obtuse, one of its interior angles has a measure between 90° and 180°. In the adjoining figure, name the following pairs of angles: 1. 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° Angles can also be classified as obtuse, right, and straight, depending on the measure of their angles. Complementary angles are those two angles whose sum is 90 degree. Complementary angles are pair angles with the sum of 90 degrees. always. Answer (i) Obtuse vertically opposite angles means greater than 90° and equal ∠AOD = ∠BOC. Two lines intersect to form a linear pair with equal measures. When the sum of two angles is 90°, then the angles are known as complementary angles. 120, 20 C. 110, 30 D. 10, 40 4. Answer. 2. There is also two 90° Ts at the top, and other places where traces leave the edges of pads. ... My first instinct was to tell you that an obtuse angle does not have a complement. The supplement of an acute angle is an obtuse angle. The measure of the straight angle is \({180^\circ}\). Two angles together are angle pairs. 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 sum of twice the supplement of the obtuse angle and three times the complement of the acute angle is 340. (in degree) View solution. Question 3: Can two right angles complement each other? a right angle has a supplement. Can two acute angles be complementary to each other ? This guarantees greater than 90° angle. Added 11/17/2016 11:57:47 AM. 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. of an obtuse angle. Hence, it is not possible for two right angles to complement each other. As, the sum of the angles of a quadrilateral is 360°, then may have maximum of three obtuse angles. 3. In other words, if two angles add up to form a right angle, then these angles are referred to as complementary angles. 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. In this case, \(\angle 1\) and \(\angle 2\) are called complements of each other.. Let one angle is 4 5 o and another angle is 4 5 o then sum is 9 0 o which is right angle. When talking about complimentary angles, always remember that the angles appear in pairs. a. Complementary angles add to 90 degrees. 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? 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. pls check my answers thanks you Unequal supplementary angles. Suppose if one angle is x then the other angle will be 90 o – x. FALSE. Equal supplementary angles. Angles that have the same measure (i.e. Obtuse Angle. Explanation: Angle equal to 90 o is called right angle. 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. (ii) Obtuse Angle- An obtuse angle has a measurement greater then 90° but less than 180°. This resulted from a combination of hand-routing and auto-routing. 7. Answer: No. In other words, when put together, the two angles form a right angle. So, let’s construct it firstly and then focus on studying its geometric properties practically. This answer has been confirmed as correct and helpful. both angles in a supplementary pair are right. The term obtuse is also used in the context of triangles. Although a right angle is 90 degrees, but it can’t be called a complementary … Triangle ABC above is classified as an obtuse triangle since angle A is between 90° and 180°. And the other angle be 90-x. Reflex Angle It is one-half of the whole turn of a circle. That's OK, but try to avoid less than 90° angles. So let's take three pair of acute angles of any degree. 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. Complementary angles are angle pairs that add up to exactly 90 o. 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!!!!!! Examples of Complementary Angles. Confirmed by yumdrea [11/18/2016 7:51:55 PM] 33,085,607. questions answered. sometimes. 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. angle that is complement of itself is 45°. The angle which measures greater than 180° and less than 360° is known as the reflex angle. 130, 10 B. an obtuse angle has a supplement. ; Two angles that share terminal sides, but differ in size by an integer multiple of a turn, are called coterminal angles. Note the various traces leaving pads at corners. (Complements are 90 degree angles, and obtuse angles are over 90 degrees as it is.) An obtuse angle is a type of angle whose degree measurement is more than 90° but less than 180°. 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. 5. GET. This is an example of complementary angles example But it is not necessary that the two complementary angles are always adjacent to each other. View solution. Since they are complements, their sum is 90 degrees. ∠ PQR is an obtuse angle because its less than 180° and greater than 90°. Answers. 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. An obtuse angle would never have a complement since obtuse is over 90 and comp. 2. Find the angle which is supplementary of itself. (iv) Interior of an angle- The area between the rays that make up an angle and extending away from vertex to infinity. (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. Sometimes, the measures of these angles form a special relationship. Complementary angles do not need to be adjacent angles or oriented in the same direction. One angle has the measure 3x° and the other angle has the measure (9y − 18)°. 3. weegy* * Get answers from Weegy and a team of really smart live experts. 2. An obtuse angle has a complement. If a = 3 b, find a and b. Reflex Angle. always. always. 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. Complementary angles are two angles that add up to 90 degrees.. The angle … 14. Construction. Complementary angles are two angles that add up to exactly 90 °. 1. if two angles are supplementary they they form a straight angle. Here are eight sets of angles in degrees. 2. This means that one angle is 30 deg. So if two angles are complementary, then they are acute (ie less than 90 degrees). No, all the four angles of a quadrilateral cannot be obtuse. A straight angle is nothing but a mixture of an obtuse angle and acute angle on a line. The complement of a right angle is an obtuse angle. Accordingly, can an angle be complementary to itself? We know acute angles are angles whose measure is less than 90. Yes. Try These: Answer by radh(108) (Show Source): You can put this solution on YOUR website! A Company received an invoice for $2000 dated January 22 with terms 3/15,1/30,n/60. It is not possible for a triangle to have more than one obtuse angle. Never. (iii) Complementary Angle- When sum of angle is 90° than they are called Complementary angles. all right angles are equal in measure). means 2 angles add to 90. Thus, two obtuse angles cannot complement each other. both angles in a complementary pair are acute. Explain. Find the measures of the angles. An angle has a supplement . 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