Question

In the diagram below, the measure of XY = 240 . Find the measure of angle .seseX

Answer 1

Given:

The measure of the arc XY = 240

The angle θ is inscribed angle

so, it will be half the measure of the arc opposite to it

So,

θ = 0.5 * 240 = 120

so, the answer will be θ = 120