Question

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

Answer 1

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* m\angle XYZ \\ 205=2* Y \\ Y=(205)/(2) \\ Y=102.5\degree \end{gathered}`

Final answer:

102.5 degrees