Question

Solve for y in the circle below.

(400)
(4x)
D180°
(27-20)
y = 15
!
!
!

Answer 1

y = 40.

Explanation:

The opposite sides of a cyclic quadrilateral sum to 180, so:

3y + 2y - 20 = 180

5y = 180 + 20 = 200

y = 40.