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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 actual degree measure of arc KJ? *

A. 10
B. 46
C. 74
D. 99


Sagot :

The  actual degree measure of arc KJ is 99 degrees

Circle geometry

From the given informtion

arc KL = 12x+4

arc KJ = 8x-6

<E = 99 degrees

The equation required to get the value of "x" is given as:

12x + 4 + 8x - 6 + 99 = 360

20x + 97 = 360

20x = 360 - 97

20x = 263

x = 13.15

For the arcKL

arcKJ = 8(13.15) -  6

arcKJ = 99degrees

HEnce the  actual degree measure of arc KJ is 99 degrees

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