Given: ABC is a straight angle Prove: 1 is supplementary to 2. Question 1: An angle is five times its supplement. supplementary angles and prove angles congruent by means of four new theorems. This means when the opposite angles of a kite is 90 o, they are supplementary. In a kite the opposite angles are equal, so for it to be supplementary, the opposites angles must be 90 o. For example, if angle A is supplementary to C and angle B is supplementary to C, then angle A and B are congruent.Ĭongruent angles are the angles that have equal measure Are the opposite angles of a kite supplementary The condition for this to be so is that If two angles are supplementary to the same angle, then they are congruent to each other. So, two obtuse angles can’t be supplementary to each other. Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angle at the center of the circle. Let us take the least obtuse angle which is 91, it supplement will be 89, and 89 isn’t an obtuse angle. An obtuse angle is an angle greater than 90°. Can two obtuse angles be supplementary to each other Yes, because the sum of two right angles is 180 o. And the sum of angles on a straight line is 180 o Are two right angles always supplementary Yes, two supplementary angles always form a linear pair because they sum up to 180 degrees. The complement of an angle X is (90 – X)°įAQ On Supplementary Angles Do supplementary angles form a linear pair The supplement of an angle X is (180 – X)°

They form a right-angled triangle when combined together. They form a straight line when combined together.

Are the opposite angles of a kite supplementaryĭifferences Between Supplementary and Complementary Angles Supplementary.Can two obtuse angles be supplementary to each other.Are two right angles always supplementary.Do supplementary angles form a linear pair.Differences Between Supplementary and Complementary Angles.

Supplementary angle proofs