Question

1. quadrilateral abcd is inscribed in a circle. angle b measures 74°, and angle d measures (x - 15)°. 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

$74 + (x - 15) = 180$

Step3: Simplify equation

$x + 59 = 180$

Step4: Solve for x

$x = 180 - 59 = 121$

Answer:

121