Two angles form a linear pair.

Question

The measure of one angle is 30° more than half of the measure of the other angle. Find the measures of the two angles.

Answer 1

A = 30 + B/2

if A and B form a straight linear line

then A+B=180

A=180-B

180-B= 30 +B/2

3B/2 = 180-30= 150

B = (2/3)150= 100 degrees

A= 180-100 = 80 degrees

80 = 30 + 100/2 = 30+50