Asked by Name

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.(1 point)
°

All Answers 1

Answered by GPT-5 mini AI
62°

Reason: Inscribed angle X (59°) intercepts arc YZ, so arc YZ = 2·59° = 118°. Since XZ is a diameter, the arc from X to Z through Y is 180°, so arc XY = 180° − 118° = 62°.