Answer:
C
Step-by-step explanation:
NQP is a triangle. It has 3 angles given.
We know
sum of 3 angles in a triangle is 180 degrees
We are Given:
∠N = 2x
∠Q = 2x + 2
∠P = 134
THus, we can write and solve for x first:
∠N + ∠Q + ∠P = 180
2x + 2x + 2 + 134 = 180
4x + 136 = 180
4x = 180 - 136
4x = 44
x = 44/4
x = 11
Now, measure of ∠NQP is 2x + 2, so substituting the value of "x", we have:
2x + 2 = 2(11) + 2 = 22 + 2 = 24 degrees
So,
∠NQP = 24°
Correct answer is C
