Question

in quadrilateral quad, m∠a = 62°. determine m∠q. enter the answer in the space provided. use numbers instead of words. m∠q = \boxed{}

Explanation:

Step1: Recall cyclic quadrilateral property

In a cyclic quadrilateral, opposite angles are supplementary, i.e., \( m\angle A + m\angle Q = 180^\circ \).

Step2: Substitute given angle

Given \( m\angle A = 62^\circ \), so \( 62^\circ + m\angle Q = 180^\circ \).

Step3: Solve for \( m\angle Q \)

\( m\angle Q = 180^\circ - 62^\circ = 118^\circ \).

Answer:

118