Answer:
∠ QOP = 19°
Explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles
∠ PQR is an exterior angle of the triangle , then
∠ PQR = ∠ OPQ + ∠ QOP ( substitute values )
8x - 11 = 3x + 5 + 2x + 5
8x - 11 = 5x + 10 ( subtract 5x from both sides )
3x - 11 = 10 ( add 11 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
Then
∠ QOP = 2x + 5 = 2(7) + 5 = 14 + 5 = 19°