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solve for the measure of angle JKL in the diagram below? Show your work and explain the steps you used to solve

Solve For The Measure Of Angle JKL In The Diagram Below Show Your Work And Explain The Steps You Used To Solve class=

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Mathmateidn

Question: calculate the measure of angle JKL, i.e. mJKM+mMKL

Answer:

78°

Step-by-step explanation:

angle JKM is a tangent-chord intersection angle and equals half of the intercepted arc KM of 76°.  Thus

mJKM = 76/2 = 38°

angle MKL is an inscribed angle and equals half of the intercepted arc ML of 80°,  Thus

mMKL = 80/2 = 40°.

Therefore angle JKL = 38°+40° = 78°.

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