Question

2. In the diagram below, angle AOB = 66°
Find angle OAB, giving reasons for your answer.​

Answer 1

57°

Explanation:

Δ AOB has 2 equal sides as radius of the circle, this is isosceles triangle

So the angles ∠OAB= ∠OBA

∠AOB= 66° and sum of 3 angles = 180°

So ∠OAB= (180° - 66°)/2= 57°