Answer:
m∠MNQ = 25°
Explanation:
From this image, we can assume that ∠MNQ ≅ ∠PNR because they are vertical angles.
Because they are vertical angles, they are congruent to each other. Use this information to create an equation.
m∠MNQ = 2x - 1
m∠PNR = 5x - 40
m∠MNQ ≅ m∠PNR
2x - 1 = 5x - 40
Solve the equation
2x = 5x - 39
-3x = -39
x = 13
Plug in the answer for m∠MNQ
m∠MNQ = 2x - 1
m∠MNQ = 2(13) - 1
m∠MNQ = 26 - 1
m∠MNQ = 25
m∠MNQ = 25°