Question

#16 What is the value of x?

Answer 1

x = 25 , x = 136

Explanation:

(15)

The opposite angles of a cyclic quadrilateral are supplementary , sum to 180°

3x + 105 = 180 ( subtract 105 from both sides )

3x = 75 ( divide both sides by 3 )

x = 25

(16)

The chord- chord angle is half the sum of the arcs intercepted by the angle and its vertical angle, then

x =
`(1)/(2)` (VW + UX) =
`(1)/(2)`(115 + 157) =
`(1)/(2)` × 272 = 136