Respuesta :

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.

Answer:

[tex]x=-6[/tex]

Step-by-step 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

[tex]2(-3x-6) =-4x\\x=-6[/tex]

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