Question

if a transversal intersects two parallel lines and the difference of interior angles on the same side of the transversal is 30, find the angles ?​

Answer 1

Answer:

75° and 105°

Step-by-step explanation:

Let the smaller angle be x.

Larger angle = x+30

The interior angles on the same side of transversal are supplementary.

=> x+x+30 = 180°

=> 2x = 180-30

=> 2x = 150°

=> x = 75°

Hence, smaller angle = 75°

Larger angle = 75+30 = 105°