Question

Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angle of the quadrilateral. Show your work.

Answer 1

x = 96, unlabeled angle is 82

Explanation:

opposite angles of inscribes quadrilaterals are supplementary, or A+C = 180 and B+D=180. If you need a proof of this let me know and I can give it to you.

Using A and C:

x-10+x-2 = 180

2x = 192

x = 96

Then just plug x in, and the unlabeled angle is 360 - the other three angles. Or you could do 180-D