Answer to Question #301891 in Geometry for alyssa

Question

If 

<3 is 62 degrees, what is the measure of <2

? 

Answer 1

Notice that ∠5 is an internal angle because it's between the parallels.

∠1 and ∠5 are corresponding angles because they are at the same side of the transversal, one is internal and the other external. So, ∠1 = 62°.

∠2 and ∠1 are supplementary angles because they are on a straight angle, so if ∠1 = 62°, then ∠2 = 180° - 62° = 118°.

∠3 and ∠1 are vertical angles because they have a vertex in common only. So, they are congruent, which means ∠3 = 62°.

Finally, ∠4 and ∠2 are vertical angles, so they are congruent. ∠4 = 118°.

then ∠2 = 180° - 62° = 118°.