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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

In the diagram below line p is parallel to line q What is the mlt2 What theorem or postulate proves this Note I know that mlt230 but I dont know what theorem or class=

Respuesta :

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°

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