Question

what is the value of x? x + 59° 80° x =

Explanation:

Step1: Recall cyclic - quadrilateral property

In a cyclic quadrilateral, the sum of opposite angles is 180°. Angles ∠T and ∠V are opposite angles.

Step2: Set up the equation

We know that (x + 59)°+80° = 180°.

Step3: Solve the equation for x

First, simplify the left - hand side of the equation: x+59 + 80=x + 139. So, x+139 = 180. Then subtract 139 from both sides: x=180 - 139.

Answer:

41