Asked by Anonymous

Arc AB measures 5x + 2. Angle ACB measures 3x + 14. Find the value of x.
Answered by drwls
Angles and arcs have different dimensions. Both are presented as dimensionless numbers in your question.

The question makes no sense to me.
Answered by Steve
Presumably C is the center of a circle, and A and B are points on the circle.

arc AB = r * angle ACB
5x+2 = r(3x+14)
5x+2 = 3rx + 14r
x(5-3r) = 14r-2
x = (14r-2)/(5-3r)

Not knowing the radius of the circle, it's tough to get a value for x.
Answered by Anonymous
Angle C is an inscribed angle of circle P. Angle C measures (3x + 6)° and arc AB measures (8x)°. Find x.
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