Question

1. quadrilateral abcd is inscribed in a circle. angle b measures 121°, and angle d measures (x - 22)°. what does x equal?

Explanation:

Step1: Use cyclic quadrilateral property

Opposite angles sum to $180^\circ$: $\angle B + \angle D = 180^\circ$

Step2: Substitute values

$121 + (x - 22) = 180$

Step3: Solve for x

$x + 99 = 180 \implies x = 180 - 99 = 81$

Answer:

B. 81