Question

Please give the measure of NPQ and explain how you got it

Answer 1

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