Question

what is the value of x? x =

Explanation:

Step1: Recall property of cyclic quadrilateral

The opposite angles of a cyclic quadrilateral are supplementary, i.e., they add up to 180°. In cyclic - quadrilateral $TUSV$, $\angle U$ and $\angle S$ are opposite angles. So, $73^{\circ}+(x + 87^{\circ})=180^{\circ}$.

Step2: Simplify the equation

First, combine like - terms: $73^{\circ}+x+87^{\circ}=180^{\circ}$, which simplifies to $x+(73^{\circ}+87^{\circ})=180^{\circ}$, then $x + 160^{\circ}=180^{\circ}$.

Step3: Solve for x

Subtract $160^{\circ}$ from both sides of the equation: $x=180^{\circ}-160^{\circ}$.

Answer:

$20$