In this non-linear system, users are free to take whatever path through the material best serves their needs. The two supplementary angles can not be acute angles because their sum is less than 180° The two supplementary angles can not be obtuse angles because their sum is greater than 180° The statement “The supplement of an acute angle is an obtuse angle.” is always true because the sum of any two supplementary angles is 180°, so if one of them less than 90° … Acute angles are less than 90 degrees, obtuse angles are more than 90 degrees, and right angles are exactly 90 degrees. An acute angle is an angle which measures greater than 0 degrees and less than 90 0.0 (0 votes) Become a Study.com member to unlock this B. Obtuse. Among them, we have the right angle, plane angle, acute angle, obtuse angle, supplemental angle. For its explanation we will investigate the definitions of each angle and with a simple example we will make a demonstration. thank you.. Can you explain this answer? The sum of two angles to be one supplement of the other must be {eq}180^{\circ} (c) Two obtuse angles can be supplementary. 2. Sciences, Culinary Arts and Personal (Any angle can sometimes have a supplement, sure.) An acute angle is an angle whose measure is greater than \({0^\circ}\) and less than \({90^\circ}\). ∠ θ and ∠ β are also adjacent angles because, they share a common vertex and arm. the bisectors of two adjacent supplementary angles are ____ perpendicular to each other. Create your account. Is the following statement always, sometimes, or never true? (b) Two right angles can be supplementary. Comment on birdybella's post “Neither. An acute angle has a degree measure of negative 45. ... measures sum to 180 form a linear pair. In the development of this question we will be explaining, if the supplement of an acute angle is an obtuse angle. In the following image, AB and BC intersect to form an angle that is greater than 90° and less than 180°. Two lines that form a right angle are said to be normal, orthogonal, or perpendicular. There are several types of angles according to their measure. (c) Two obtuse angles can be supplementary. equal. In the following image, AB and BC intersect to form an angle that is greater than 90° and less than 180°. Answer: (b) An obtuse angle can also be found out if we have the measure of the acute angle. All other trademarks and copyrights are the property of their respective owners. The supplement of an acute angle is an obtuse angle. (b) Two right angles can be supplementary. …, cosa/(1+sina)+cosa/(1-sina)=2secaprove this:)​, Diagram 1 is made up of a few equilateral triangles of sume size.What is the fraction of the shaded region of the whole diagram?11 mard)2 markah)​, which best describes the accuracy of jills solution, what is simple interest formula?what is compound interest formula?​. In the supplementary angles if one is an acute angle then the other is an obtuse angle. Explain why the supplement of an acute angle must be obtuse. The following questions check your understanding of the terms, acute angle, right angle, obtuse angle, straight angle, complementary angles, and supplementary angles. The angle measure ranges from 90° to 180°. (b) Two right angles can be supplementary. The supplement of an acute angle will always be an obtuse angle. Answer. Angle with a measure between ninety and one hundred eighty degrees is called Obtuse angle. Right Angle. The supplement of an obtuse angle is an acute angle. m DEF = 110. 1. The supplement of the angle is 180 degrees minus the magnitude of the angle. All rights reserved. The supplement of an acute angle will always be an obtuse angle. D. Straight. So the supplement of an … - Definition & Examples, Classifying Triangles by Angles and Sides, What is a Right Angle? It is not necessary that a supplementary angle will lie on the same line, they can be on different lines but should measure 180 0. 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