Answer:
x = 25 , x = 136
Step-by-step 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 = [tex]\frac{1}{2}[/tex] (VW + UX) = [tex]\frac{1}{2}[/tex](115 + 157) = [tex]\frac{1}{2}[/tex] × 272 = 136
