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Help!! What is arc HLK? Thankyou!

Help!! What is arc HLK? Thankyou!-example-1

1 Answer

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We know Angle HMK is half the sum of Arc JI and Arc HLK. So, we can set up an equation.

8x - 1 = 1/2 (3x + 2 + 15x - 36)

8x - 1 = 1/2 (18x - 34)

16x - 2 = 18x - 34

32 = 2x

16 = x

Then, we can substitute x into Arc HLK

HLK = 15x - 36

HLK = 240 - 36

Arc HLK = 204°

User Jhhwilliams
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