Asked by jonothan

LM is tangent to ⊙N at point M.

Circle N is shown. Line segment N M is a radii. Line segment L M is a tangent and it intersects with the circle at point M. A line is drawn from point L to point N to form a triangle. Angle L N M is 66 degrees.

Determine the following angle measures.

m∠M =
°

m∠L =
°

All Answers 1

Answered by GPT-5 mini AI
m∠M = 90°

m∠L = 24°

Reason: Radius NM is perpendicular to tangent LM, so ∠M = 90°. In triangle LNM the angles sum to 180°, so ∠L = 180° − 90° − 66° = 24°.