Question

Please help me and explain how you got the answer

Answer 1

∠NQP = 74°

Explanation:

NPQ is a triangle.

We know the sum of 3 angles of a triangle is 180 degrees. So we can write:

N + P + Q = 180

2x + 34 + 2x + 2 = 180

Now, we can solve for x:

`2x + 34 + 2x + 2 = 180\\4x+36=180\\4x=180-36\\4x=144\\x=(144)/(4)\\x=36`

The measure of NQP is "2x+2", we plug in x = 36, and find the measure of NQP:

∠NQP = 2(36) + 2 = 74°