Triangle LMN is inscribed inside a circle with diameter LM ; the inscribed angle is N . The angle measure at the vertex L is 37°. Using what you understand about inscribed angles, find the arc measure of MN .(1 point)

Responses

90°
90°

53°
53°

74°
74°

106°

1 answer

74°

Since the inscribed angle N corresponds to the arc MN, the arc measure of MN must be equal to the angle N. Since angle N and angle L are vertical angles, and angle L is 37°, then angle N is also 37°.

Therefore, the arc measure of MN is 37° which corresponds to choice 74°.