Answer:
see explanation
Step-by-step explanation:
∠MNO is the exterior angle of the triangle
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, thus
∠MNO = ∠LMN + ∠ NLM, that is
10x + 1 = 3x + 11 + 3x + 18
10x + 1 = 6x + 29 ( subtract 6x from both sides )
4x + 1 = 29 ( subtract 1 from both sides )
4x = 28 ( divide both sides by 4 )
x = 7
∠NLM = 3x + 11 = (3 × 7) + 11 = 21 + 11 = 32°
