Homework Help: geometry

Posted by jessica on Friday, August 26, 2011 at 11:37am.

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 - Reiny, Friday, August 26, 2011 at 12:42pm
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 - Anonymous, Thursday, June 14, 2012 at 12:57pm
B = 4x + 10
geometry - ketelene, Thursday, December 6, 2012 at 2:47pm
2.5

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