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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
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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 12x+4, arc KJ is 8x-6, and angle E is 99 degrees. What is the-example-1
User Xarzu
by
6.1k points

1 Answer

2 votes

Answer:

81°

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°

User Chemist
by
4.7k points
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