Question

Given: m∠1 = 62°
Prove: m∠7 = 118°

Answer 1

https://ivep.owschools.com/media/g_geo_ccss_2016/3/page44b.gif

Answer 2

Well a paragraph proof would state as...

We first analyze the diagram. We see that angle 1 corresponds with angle 3 which is the definition of corresponding angles. Since angle 3 corresponds with angle 1 that would mean that they are equal to each other so angle 3 equals 62 degrees. Adjacent to that angle is angle 7 due to the fact that they lie on a straight line that would mean that these two angles are supplementary to each other so `angle 3 + angle 7 = 180` definition of supplementary angles. We substitute `67 + angle 7 = 180` use subtraction property....180 - 67 = angle 7.....118 = angle 7.