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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

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to find angle c, the fourmula is 1/2 of the intercepted arc. so, this would be (-3x-6)=(-4x)/2, then bring the 2 over, (-3x-6)2=-4x, multiply the 2, -6x-12=-4x, -2x=12, simplify, x=-6

check by plugging in.

User Lakeishia
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4 votes

Answer:


x=-6

Explanation:

Given that angle C is an inscribed angle of circle P. Angle C measures (-3x - 6)° and arc AB measures (-4x)° .

We know that inscribed angle in a circle is 1/2 of the arc of tha angle.

ARc of AB =-4x

Inscribed angle = -3x-6


2(-3x-6) =-4x\\x=-6

User Learningtech
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