if angle 1 and angle 2 form a linear pair and angle 1 is 1/5 of angle 2 what is the measure of each angle

angle 1 = 30° and angle 2 = 150°

Step-by-step explanation:

Let angle 2 be x. Then angle 1 = 1/5x

angle 1 + angle 2 = 180 (linear pair)

1/5x + x = 180°

(5x + x) / 5 = 180°

6x = 180 x 5

6x = 900°

x = 900/6

= 150°

Angle 1 = 1/5x = 1/5 x 150°

= 30°