Answer:
x = 9
Explanation:
The measure of angle M is half of the sum of the big arc minus the little arc it intersects.
We also know ∠M = 4x +4
∠M= 1/2(mArc CK - mArc LN)
Substitute in values
4x +4 = 1/2(15x + 12 - 67)
Combine like terms
4x + 4 = 1/2(15x - 55)
Multiply (what's in side the parenthesis by 1/2)
4x + 4 = 7.5x - 27.5
Isolate the x. Add 27.5 to both sides
4x + 31.5 = 7.5x
Subtract 4x from both sides
31.5 = 3.5x
Divide both sides by 3.5
9 = x