Question

A quadrilateral is inscribed in a circle.


the angles are y,2x,63,118


What is the value of x?




31


59


62


117

Answer 1

Since the sum of the angles in a quadrilateral is 360 degrees, we can set up the equation y + 2x + 63 + 118 = 360 and solve for x.

y + 2x + 63 + 118 = 360
y + 2x = 360 - 63 - 118
y + 2x = 179

Now, we know that the sum of the angles in a triangle inscribed in a circle is 180 degrees. So, we have:

y + 63 + 118 = 180
y + 181 = 180
y = 180 - 181
y = -1

Now we can substitute y back into our equation:

-1 + 2x = 179
2x = 179 + 1
2x = 180
x = 180 / 2
x = 90

Therefore, the value of x is 90 degrees. None of the given options is correct.