Supplementary Angles
Two angles whose sum is 180 degrees.
Supplementary angles are a pair of angles that add up to 180 degrees. Therefore, if angle A and angle B are supplementary angles, then A + B = 180 degrees.
Supplementary angles are commonly found in geometry and in the real world. They are used in solving problems that involve finding missing angles in figures such as triangles, quadrilaterals, and circles.
To find the measure of a supplementary angle when given one angle, you subtract the given angle from 180 degrees. For example, if angle A measures 110 degrees, the measure of angle B (the supplementary angle) can be found by subtracting 110 from 180: 180 – 110 = 70 degrees.
Supplementary angles can be adjacent or non-adjacent. Adjacent supplementary angles share a common side and add up to 180 degrees, while non-adjacent supplementary angles do not share a common side but still add up to 180 degrees.
It is important to note that when two angles form a straight line, they are always supplementary. This is because a straight line forms a 180-degree angle, and any two angles that form a straight line must add up to 180 degrees.
More Answers:
Corresponding Angles: Definition, Examples, And Applications For Parallel Lines And TransversalsThe Alternate Exterior Angles Theorem: Its Importance In Geometry For Finding Missing Angles And Proving Triangle Congruence.
Vertical Angles: Their Definition And Importance In Solving Geometric Problems