Question

What is the measure of ∠MNO?

Answer 1

∠MNO = 51°

Explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

3x + 15 + 2x + 25 + 5x + 10 = 180 ← simplify left side

10x + 50 = 180 ( subtract 50 from both sides )

10x = 130 ( divide both sides by 10 )

x = 13

∠MNO = 2x + 25 = (2 × 13) + 25 = 26 + 25 = 51°