Question

The measure of an angle is 34 greater than its supplement. Find the measure of both angles

Answer 1

Let the angle be X degree.

Then it’s supplement is (189-X) degree

Given that , Angle - supplement = 30

Or , X- 180-x)=30

or , X- 180 + X = 30

2X - 180 = 30

X=30+180/2

X=210/2

X=105


Now ,


180-X=180–105=75


Hence , the angles are 105 and 75 degrees.