Question

for each quadrilateral inscribed in a circle, determine the measure of the indicated angle.
in quadrilateral abcd, ( mangle d = 93^{circ} ). determine ( mangle b ).

Explanation:

Step1: Recall the property of cyclic quadrilaterals

In a cyclic quadrilateral, the sum of opposite angles is \(180^{\circ}\). So, \(m\angle B + m\angle D=180^{\circ}\).

Step2: Solve for \(m\angle B\)

Given \(m\angle D = 93^{\circ}\), substitute into the equation: \(m\angle B=180^{\circ}-m\angle D\).

$$m\angle B = 180^{\circ}-93^{\circ}$$

$$m\angle B=87^{\circ}$$

Answer:

\(87^{\circ}\)