Question

Find the value of X and the measure of angle MNQ

Answer 1

see explanation

Explanation:

Since ∠MNP is right, then

∠MNQ + ∠QNP = ∠MNP ← substitute values

3x - 13 + 58 = 90, that is

3x + 45 = 90 ( subtract 45 from both sides )

3x = 45 ( divide both sides by 3 )

x = 15

Hence

∠MNQ = 3x - 13 = (3 × 15) - 13 = 45 - 13 = 32°