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When the sum of two angles is 180° then they are said to be Supplementary Angles.
Two Angles are Supplementary when they add up to 180 degrees
Illustration: Find supplementary angle of 43°.
Solution: Let the angle be x:
x + 43 = 180:
x = 180 - 43 = 137°
Illustration: Two angles are supplementary. If one angle is 36° less than twice of the other angle, find the two angles.
Solution: Let the angle be x and its supplementary angle be 180 - x.
According to question:
x = 2(180 - x) - 36
x = 360 - 2x - 36
3x = 324 OR x = 108.
Hence the two angles are 108 and 72 which are supplementary angles.



