Question

In the diagram below, line p is parallel to line q. What is the m<2? What theorem or postulate proves this? Note: I know that m<2=30*, but I don't know what theorem or postulate proves this true. Please help! <3

Answer 1

Okay, here we have this:

Considering the provided information, that angle 2 and the angle that measure 150° are consecutive interior angles, and that the consecutive interior angles theorem says that the pairs of consecutive interior angles are supplementary angles. We obtain the following:

180°=m∠2+150°

m∠2=180°-150°

m∠2=30°