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Question

Find the measure of an angle which is twice its supplement

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Solution

Let one supplement angle=x
Twice of supplement angle=2x
so we know two supplement angle =180°
Then
x+2x=180°
3x=180°
x=180÷3=60°
2×60=120°


Or Simply

Supplement = 180 - angle measure. Supplementary angles add to 180 degrees.

So of the measure of the angle is x, the measure of its supplement is 2x.

x + 2x = 180

3x = 180

x = 60

Angle = 60, supplement = 120

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