Question

Quadrilateral ABCD is inscribed in a circle. Angle B measures 74 degrees,and angle D measures (x-15) degrees.What does x equal?

A-106
B-105
C-91
D-121

pls help asap ​

Answer 1

121degrees

Explanation:

For a quadilateral inscribed in a circle, the sum of its opposite angles is 180degrees. Hence;

<B + <D = 180

x -15 + 74 = 180

x + 59 = 180

x = 180 - 59

x = 121 dgrees

Hence the value of x is 121degrees