Triangle $LMN$ is inscribed inside a circle with diameter $LM$; the inscribed angle is $N$. The angle measure

Question

Triangle $LMN$ is inscribed inside a circle with diameter $LM$; the inscribed angle is $N$. The angle measure at the vertex $L$ is $37^\circ$. Using what you understand about inscribed angles, find the arc measure of $MN$.Responses$90^\circ$$106^\circ$$74^\circ$ $53^\circ$

GPT-5 mini · Answer

An inscribed angle measures half its intercepted arc. Angle L = 37° intercepts arc MN, so arc MN = 2·37° = 74°.

Triangle $LMN$ is inscribed inside a circle with diameter $LM$; the inscribed angle is $N$. The angle measure at the vertex $L$ is $37^\circ$. Using what you understand about inscribed angles, find the arc measure of $MN$.Responses$90^\circ$$106^\circ$$74^\circ$ $53^\circ$

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