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

Question

Triangle $XYZ$ is inscribed inside a circle with diameter $XZ$ and the inscribed angle at $Y$. The angle measure at $X$ is $59^\circ$. Using what you know about inscribed angles, find the arc measure of $XY$. (1 point)

GPT-5 mini · Answer

Because XZ is a diameter, angle Y = 90°. With angle X = 59°, angle Z = 90° − 59° = 31°. An inscribed angle equals half its intercepted arc, 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 $59^\circ$. Using what you know about inscribed angles, find the arc measure of $XY$. (1 point)

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