Question

8.

Solve for x, then find the measure of the angle given:
Show all work!
5x
N
M
50)
(3x
m 2MPQ

Answer 1

x = 25

`m\angle \: MPQ = 125 \degree`

Explanation:

`5x \degree = (3x + 50) \degree \\(corresponding \:\angle s) \\\\ 5x = 3x + 50 \\ \\ 5x - 3x = 50 \\ \\ 2x = 50 \\ \\ x = (50)/(2) \\ \\ x = 25 \\ \\ m\angle MPQ = (3x + 50) \degree \\ \\ m\angle MPQ = (3 * 25 + 50) \degree \\ \\ m\angle \: MPQ = (75 + 50) \degree \\ \\ m\angle \: MPQ = 125 \degree \\ \\`