Question

what is the value of x? x =

Explanation:

Step1: Recall cyclic - quadrilateral property

Opposite angles of a cyclic quadrilateral are supplementary (sum to 180°). In cyclic quadrilateral $PQRS$, $\angle S$ and $\angle Q$ are opposite angles. So, $87^{\circ}+3x = 180^{\circ}$.

Step2: Solve for $x$

Subtract 87 from both sides of the equation: $3x=180 - 87$. Then $3x = 93$. Divide both sides by 3: $x=\frac{93}{3}=31$.

Answer:

$31$