Question

Angle C is an inscribed angle of circle P. Angle C measures negative x plus 8 degrees and arc AB measures 12 x degrees. Find x.

Answer 1

http://curriculum.kcdistancelearning.com/courses/ALG2x-CR-A09/b/assessments/G-GeometryUnitExam/A2CR_Unit7_Exam_LT_118q3.gif

Answer 2

same as before

Answer 3

So <C= -x+8
And mAB=12x
http://www.mathwarehouse.com/geometry/circle/angle-tangent-and-chord.php
So
<C= 1/2 (mAB)
Substitr your value into the equation

-x+8=1/2(12x)
Can you solve for x from here?

Answer 4

\(\bf \textit{incribed angle}=\cfrac{\textit{intercepted arc}}{2}\implies 2\textit{incribed angle}=\textit{intercepted arc}
\\ \quad \\
-x+8=\cfrac{12x}{2}
\)