Question

Two angles are supplementary. if one angle is 36 less than twice of the other angle, find the two angles.

Answer 1

Answer: 72° and 108°


Explanation:

Two angles are supplement ===> They add up to 180

one angle = x
other angle = 2x - 36

x + 2x- 36 = 180
3x - 36 = 180
3x = 216
x = 72


x = 72
2x - 36 = 2(72) - 36 = 108

Answer 2

The sum supplementary angles add up to 180°

Let one of the angle be x. 
one angle = x
other angle = 2x - 36

Sum of the two angles is 180
x + 2x - 36 = 180

Combine like terms:
3x - 36 = 180

Add 36 to both sides:
3x =  216

Divide both sides by 3:
x = 72

Find the 2 angles:
one angle x = 72°
other angle = 2x - 36 = 2(72) - 36 = 108°

Answer: The two angles are 72° and 108°