Question

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

74°
74°

90°
90°

53°
53°

106°

Answer 1

74°

Reason: The inscribed angle at L (37°) intercepts arc MN, and an inscribed angle measures half its intercepted arc. So arc MN = 2·37° = 74°.