Question

question 20 of 25
in the diagram below, ⊙o is circumscribed about quadrilateral abcd. what is
the value of x?

a. 123
b. 117
c. 57
d. 63

Explanation:

Step1: Use cyclic quadrilateral theorem

Opposite angles sum to $180^\circ$: $93^\circ + (x+30^\circ) = 180^\circ$

Step2: Simplify the equation

$x + 123^\circ = 180^\circ$

Step3: Solve for x

$x = 180^\circ - 123^\circ$

Answer:

D. 63