Question

The circle below is centred at O.

a) Work out the size of angle X.
b) Which of the circle theorems below allows you to calculate this angle?

Answer 1

61∘

Explanation:

Isosceles triangle property:

The triangle in the circle is an isosceles triangle, so that means the lateral sides of the triangle are equal, and so are the angles;

x = 90∘ - 29∘ = 61∘ (90∘, because the tangent and the radius form a right angle (that the b) part, I think))