Question

in quadrilateral abcd, m∠d = 93. determine m∠b. enter the answer in the space provided. use numbers instead of words.

Explanation:

Step1: Identify the type of quadrilateral

Quadrilateral \(ABCD\) is cyclic (inscribed in a circle). For a cyclic quadrilateral, opposite angles are supplementary, i.e., \(m\angle B + m\angle D= 180^\circ\).

Step2: Use the supplementary angle property

Given \(m\angle D = 93^\circ\), we substitute into the formula \(m\angle B=180^\circ - m\angle D\).
\(m\angle B = 180 - 93\)
\(m\angle B = 87\)

Answer:

\(87\)