Answer:
∠ LMN = 65° , ∠ PQR = 25°
Step-by-step explanation:
Complementary angles sum to 90°
∠ LMN + ∠ PQR = 90° , that is
8x + 1 + 2x + 9 = 90
10x + 10 = 90 ( subtract 10 from both sides )
10x = 80 ( divide both sides by 10 )
x = 8
Then
∠ LMN = 8x + 1 = 8(8) + 1 = 64 + 1 = 65°
∠ PQR = 2x + 9 = 2(8) + 9 = 16 + 9 = 25°
