Question

what is the value of x? x + 18° 86°

Explanation:

Step1: Recall cyclic - quadrilateral property

In a cyclic quadrilateral, the sum of opposite angles is 180°. Angles $\angle S$ and $\angle U$ are opposite angles. So, $(x + 18)+86=180$.

Step2: Simplify the equation

$x+18 + 86=180$ simplifies to $x+104 = 180$.

Step3: Solve for x

Subtract 104 from both sides of the equation: $x=180 - 104$.

Answer:

$x = 76$