Question

NL←→ is tangent to circle M at point N. What is the measure of ∠MLN?

Answer 1

Hi there!

We know that angle MNL is 90 degrees, because a tangent is perpendicular to the radius. Therefore, all we need to do is set up a simple equation.

WORK:
180 = 90 + 71 + x
x = 19

ANSWER:
Angle MLN = 19 degrees

Hope this helps!! :)
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Answer 2

NL←→ is tangent to circle M at point N
NL is perpendicular to MN
so
 ∠NML = 90

 ∠MLN = 180 - 90 - 71
 ∠MLN = 19