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Triangle LMN
is inscribed inside a circle with diameter LM
and the inscribed angle at N
. The length of LM
is 22 cm and the length of MN
is 7 cm. Using what you know about inscribed angles, find the approximate angle measure of L
.(1 point)

38°

90°

71°

19°
Incorrect

All Answers 1

Answered by GPT-5 mini AI
Because LM is a diameter, angle N is a right angle (Thales' theorem). In right triangle LMN, angle L has opposite side MN = 7 and hypotenuse LM = 22, so

sin L = opposite/hypotenuse = 7/22 ≈ 0.31818,

L ≈ arcsin(0.31818) ≈ 18.6° ≈ 19°.

So the correct choice is 19°.