Question

quadrilateral abcd is inscribed in circle e. what is m∠b? m∠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 \(m\angle D = 78^{\circ}\). Substitute into the equation \(m\angle B=180^{\circ}-m\angle D\).

$$m\angle B = 180^{\circ}- 78^{\circ}$$

$$m\angle B=102^{\circ}$$

Answer:

\(102\)