If A is a measure of an angle, 180 - A is the measure of the supplement of the angle. If the measure of an angle equals twice the measure of its supplement, what is the measure of the angle?

Question

Mathematics

Coby Casey

16 June, 04:28

If A is a measure of an angle, 180 - A is the measure of the supplement of the angle. If the measure of an angle equals twice the measure of its supplement, what is the measure of the angle?

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Madison Chung · Answer 1

here we are given that sum of angle and its supplement is 180

let us say one of the angle is x.

So the other angle is 2x

adding the two angles,

x+2x=180

3x=180

x=60

2x=2*60=120

so the two angles are 60 and 120