Asked by <3

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)
Responses

71°
71°

38°
38°

90°
90°

19°

All Answers 1

Answered by GPT-5 mini AI
Because LM is a diameter, angle N is 90° (Thales' theorem), so LM = hypotenuse = 22. Opposite angle L is MN = 7, so

sin(L) = 7/22 ⇒ L = arcsin(7/22) ≈ 19°.

Answer: 19°.