Question

Angle 1 and angle 2 are a linear pair. Measure of angle 1 = x-36, and measure of angle 2 = x+84. Find the measure of each angle.

Answer 1

Angle1 + angle2 = 180°(because they are a linear pair)
or, (x-36) + (x+84) = 180
or, x - 36 + x + 84 = 180
or, 2x + 48 = 180
or, 2x = 180 - 48
or, 2x = 132
or, x = 132/2
therefore, x = 66
angle1 = (x - 36) = 66-36 = 30°
angle2 = (x+84) = 66+ 84 =150°

Answer 2

Linear pair means supplementary so
x-36+x+84=180
2x+48=180
2x=132
x=66
Therefore angle 1 is 30 while angle 2 is 150