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We are given arc KL is 12x+4, arc KJ is 8x-6, and angle E is 99 degrees. What is the measure of angle K?

46 degrees
74 degrees
81 degrees
99 degrees

We are given arc KL is 12x4 arc KJ is 8x6 and angle E is 99 degrees What is the measure of angle K 46 degrees 74 degrees 81 degrees 99 degrees class=

Respuesta :

mathstudent55

Answer:

81°

Step-by-step explanation:

m(arc)JKL = 2m<E = 2(99°) = 198°

m(arc)JEL = 360° - m(arc)JKL

m(arc)JEL = 360° - 198° = 162°

m<K = (1/2)m(arc)JEL = 162°/2 = 81°

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