Question

Two parallel lines are cut by atransversal.one of two interior angle on the same side of the transversal contains 150 more than the other.Find the measure of the smaller angle

Answer 1

15 degree = smaller angle

Answer 2

Let Angle 1 = x

Then,ATQ ..

Angle 2 = x + 150

Since,angle 1 + angle 2 = 180 ( co - int. angkes)

therefore, x + x + 150 = 180

2x = 30

x = 15

Hence, measure of the smaller angle = x = 15

Hope this will help you ..

:-)