Answer:
x = 18⁰
Step-by-step explanation:
Angle AOB = 90⁰ ( angle in a semi-circle)
Angle BQP = 2x ( angle in the alternate segment i.e angle between a chord and a tangent is equal to the angle the chord subtends in the alternate segment)
Considering the triangle AQP,
2x + (90⁰ + 2x) + x = 180⁰ (sum of angles in a triangle)
5x + 90⁰ = 180⁰
5x = 180⁰ - 90⁰
5x = 90⁰ Divide both sides by 5
x = 18⁰
