Question

an angle is half of its supplementary angle find the measure each angle

Answer 1

Let x = the angle

180 - x = its supplement since supplementary angles add up to 180 degrees.

180 - x = 1/2 x

2(180 - x) = 2(1/2) x

360 - 2x = x

360 = 3x

120 = x

The angle is 120 degrees, and its supplement is 60 degrees.

Answer 2

Hi!!

let that angle be X

x / 2 = { 180 -x }

3x = 360

x = 120° and 60