Question

May someone pls explain how to do this?

Question: In the image below, the measure of angle 2 is 75°. Find the measures of angles 1, 3, 4, 5, 6, 7, and 8.

Answer 1

1=105

3=105

4=75

5=105

6=75

7=105

8=75

Explanation:

angles 1 and 2 are supplementary, this means that the sum of the two angles equals 180(they make a straight line).

This means that the cross of the two lines(p and m) will cause angles 1 and 3 to be the same (2 and 4 will also be the same).

lines m and n are parallel, which means that angles 1,2,3, and 4 will be that same as their corresponding angle in angles 5,6,7, and 8.

I hope that made sense.