Question

in the diagram below, quadrilateral pqrs is inscribed in circle t. find the measure of ∠s. answer attempt 1 out of 2 m∠s = ° submit answer

Explanation:

Step1: Recall cyclic quadrilateral rule

In a cyclic quadrilateral, opposite angles sum to $180^\circ$. $\angle Q$ and $\angle S$ are opposite.

Step2: Set up angle equation

$m\angle S + m\angle Q = 180^\circ$

Step3: Substitute known angle

$m\angle S + 86^\circ = 180^\circ$

Step4: Solve for $\angle S$

$m\angle S = 180^\circ - 86^\circ$

Answer:

$94^\circ$