Question

Horizontal streets are parallel to each other. The angle measure of the two streets that intersect at Cathy’s Coffee is 95 degrees.

(a) Suppose you are traveling northeast from Ivan’s Ice Cream and turns West at Isabel’s Ice Cream. What is the measure of the angle created by your turning? Explain your answer in terms of what angles are congruent, supplementary, etc. to each other and why.
(b) Suppose you are traveling southwest from Beverly’s Burgers and turn East at Bob’s Burgers. What is the measure of the angle created by your turning? Explain your answer in terms of what angles are congruent, supplementary, etc. to each other and why.
(c) Suppose you are traveling southwest from Beverly’s Burgers and turn West at Connie’s Coffee. What is the measure of the angle created by your turning? Explain your answer in terms of what angles are congruent, supplementary, etc. to each other and why.

Answer 1

A)

45 degrees, and it is congruent.

90/2 = 45

Since it is an Alternate Interior, it is congruent.

B)

45 degrees. It is also congruent since it is an Alternate Exterior.

C)

135 degrees. It is a linear angle/linear pair.

180-45=135

I actually worked really hard for this so please consider that. I couldn't find help anywhere.