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

2 answers:

azamat2 years ago

4 0

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

ss7ja [257]2 years ago

4 0

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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