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
Question 4 answers

-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.
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