Triangle XYZ is inscribed inside a circle with diameter XZ and the inscribed angle at Y . The angle measure at X is 59°. Using what you know about inscribed angles, find the arc measure of XY .

Answer 1

Since angle X is 59°, the arc XY is double that measure since it is an inscribed angle. Therefore, the arc measure of XY is 2 * 59° = 118°.