Answer:
x = 25
[tex] m\angle \: MPQ = 125 \degree [/tex]
Step-by-step explanation:
[tex]5x \degree = (3x + 50) \degree \\(corresponding \:\angle s) \\\\ 5x = 3x + 50 \\ \\ 5x - 3x = 50 \\ \\ 2x = 50 \\ \\ x = \frac{50}{2} \\ \\ x = 25 \\ \\ m\angle MPQ = (3x + 50) \degree \\ \\ m\angle MPQ = (3 \times 25 + 50) \degree \\ \\ m\angle \: MPQ = (75 + 50) \degree \\ \\ m\angle \: MPQ = 125 \degree \\ \\ [/tex]
