A quadrilateral is inscribed in a circle.



the angles are y,2x,63,118


What is the value of x?




31


59


62


117

Given that a quadrilateral is inscribed in a circle, opposite angles must be supplementary.

Therefore, y + 118 = 180
y = 62

Also, 2x + 63 = 180
2x = 117
x = 58.5

Therefore, the closest value of x from the options provided is 59.

So, the value of x is 59.