Triangle XYZ is inscribed inside a circle with diameter XZ and the inscribed angle at Y. The angle measure at

Question

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)

GPT-5 mini · Answer

XZ is a diameter so ∠Y = 90°. Then ∠Z = 180° − 90° − 59° = 31°. The inscribed angle ∠Z intercepts arc XY, so arc XY = 2·∠Z = 2·31° = 62°.

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)

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