Question

Determine the following angle measures. mZM= mXL =

Answer 1

Angle measures are ∠M = 90° and ∠L = 24°

Step-by-step explanation:

• Step 1: In the figure, LM is a tangent to the circle N at point M.

Tangents create right angles at the point of contact with a circle.

So ∠M = 90°

• Step 2: Sum of angles in a triangle is equal to 180°

⇒ ∠L = 180° - (∠M + ∠N) = 180° - (90° + 66°)

         = 180° - 156° = 24°