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