# geometry

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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

-2

-4

-6

-8

• geometry -

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

• geometry -

B = 4x + 10

• geometry -

2.5

• geometry -

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

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