Question

question 6 of 10
what is the measure of \\(\widehat{yz}\\)?

Explanation:

Step1: Identify external angle

Angle at U=36° (external angle).

Step2: Apply external angle theorem

36°=½(arc XZ - arc YZ).

Step3: Use perpendicular chords at V

Two 90° angles imply arcs sum to 180°: arc XZ + arc YZ=180°.

Step4: Solve equations

Let arc YZ=a, arc XZ=180°-a. Then 36=½((180-a)-a)→a=52°.

Answer:

C. 52°