Parallel Lines and Supplementary Angles.Supplementary Angles problemįind the measure of unknown angle from the given figure. because 90° + 90° = 180°, as it satisfies the condition of supplementary angle. When two right angles are added, it is possible to get the supplementary angle. We know that when the measure of an angle is exactly 90°, then it is known as a right angle. Yes, 2 right angles can form a supplementary angle. Can 2 Right Angles be Supplementary Angles? īut, in the case, if we add more than two acute angles, we can get supplementary angles. It will not satisfy the property of the supplementary angle when we add obtuse angles.Įxample: 110° + 95° = 205° which is not a supplementary angle. If you add two obtuse angles, the sum will be greater than 180°. No, two obtuse angles cannot form a supplementary angle.īy the definition of obtuse angles, the angles that measure the angle greater than 90°. Can 2 Obtuse Angles be Supplementary Angles? By the definition of supplementary angles, it is impossible to get the supplementary angles when we add two angles.Įxample: 80° +60° = 140° which is not a supplementary angle.īut, in the case, if we add more than two acute angles, we can get supplementary angles. If you add two acute angles in which each angle is large as possible, its sum will be less than 180°. No, two acute angles cannot form a supplementary angle.īy definition, acute angles are the angles that measure the angle greater than 0° and less than 90°. Some of the examples of supplementary angles areĬan 2 Acute Angles be Supplementary Angles? The supplementary angle theorem states that if two angles are said to be supplementary to the same angle, then the two angles are said to be congruent. The adjacent supplementary angle shares the line segment or arm with each other whereas the non-adjacent supplementary angles do not share the line segment or arm. The supplementary angles may be classified as either adjacent or nonadjacent. ∠B = 180° – ∠A Adjacent and Non-Adjacent Supplementary Angles This means that it forms 180°.įor example, if you had given that two angles form supplementary angles and you are provided with one angle and asked to find the other angle, you can easily find the other angle using the formula “ S” of supplementary angle stands for “ Straight” line.The two angles together make a straight line, but the angles don’t have to be together.The two angles are said to be supplementary angles when they add up to 180°.The important properties of supplementary angles are: Supplementary angles form a straight line. One of its angles is acute angle and another angle is an obtuse angleĭifference between Complementary and Supplementary Angles Complementary AnglesĬomplementary angles form a right-angled triangle.Two angles are said to be supplementary angles when their angles add up to 180 degrees.
There are different types of angles and the classification of pair of angles are given as Supplementary Angles Definition An angle is formed when the line segment meets at a point. A straight line is a line without curves and it is defined as the shortest distance between two points. It initiates the study of lines and angles. Geometry is one of the important branches of mathematics that deals with the study of different shapes.