Answer:
x = 25
Step-by-step explanation:
A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
3x + 21y = 180°.....(1)
2x + 26y = 180°.....(2)
From equations (1) & (2)
3x + 21 y = 2x + 26y
3x - 2y = 26y - 21y
x = 5y
y = 1/5 x
Plug y = 1/5 x in equation (1)
3x + 21*1/5x = 180
15x + 21x = 180*5
(Multiplying both sides by 5)
36x = 900
x = 900/36
x = 25
