Question

angle Y is inscribed in the circle below. the measure of arc XZ is 205°

Answer 1

SOLUTION:

Case: Circle theorems

Method:

The angle subtended at the center by the arc XZ is twice the value at the circumference at Y

$\begin{gathered} m\angle XOZ=2\times m\angle XYZ \\ 205=2\times Y \\ Y=\frac{205}{2} \\ Y=102.5\degree \end{gathered}$

Final answer:

102.5 degrees