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What is the measure of missing angle indicated?

What is the measure of missing angle indicated?-example-1

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Answer:

∠ MLK = 34°

Explanation:

The tangent- secant angle MLK is half the difference of the measures of the intercepted arcs, that is

∠ MLK =
(1)/(2) (129 - 61)° = 0.5 × 68° = 34°

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