Question

Given the labeled diagram at the left. Find X.

Answer 1

x = 55°

Explanation:

Measure of central angle is equal to the measure of the corresponding minor arc

Therefore, m(central angle) = 70°

Since, radii of same circle are equal

Therefore, measure of the angles opposite to them are also equal.

So, by interior angle sum postulate of a triangle:

x + x + 70° = 180°

2x = 180° - 70°

2x = 110°

x = 110°/2

x = 55°