Question

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

10
46
74
99

Answer 1

74°

Explanation:

m(arc)JKL = 2 × 99° = 198°

8x - 6 + 12x + 4 = 198

20x - 2 = 198

20x = 200

x = 10

m(arc)KJ = 8x - 6 = 8(10) - 6 = 74°