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tester [92]
2 years ago
10

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

Mathematics
1 answer:
kaheart [24]2 years ago
3 0

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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