geometry
posted by jessica .
Angle C is an inscribed angle of circle P. Angle C measures (3x  6)° and arc AB measures (4x)° . Find x.
circle P with points A, B, and C on the circle and inscribed angle A C B drawn
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Something is not right here.
You say arc AB = 4x °, but the arc AB would not be measured in degrees.
Did you mean the central angle subtended by arc AB is 4x° ? That would make sense.
If so, then the central angle subtended by an arc is twice the angle subtended by the same arc at the circle.
then
4x = 2(3x  6)
4x = 6x  12
2x = 12
x = 6 , which is one of the choices 
B = 4x + 10

2.5

Angle C is an inscribed angle of circle P. Angle C measures (3x + 5)° and arc AB measures (16x)°. Find x.
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