Determine the following angle measures. mZM= mXL =

Mathematics

1 answer:

fomenos2 years ago

4 0

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°

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