Question

Angle C is an inscribed angle of circle P. Angle C measures (20x – 5)° and arc AB measures (30x + 30)°. Find the measure of arc AB.

Answer 1

\(\bf \textit{incribed angle}=\cfrac{\textit{intercepted arc}}{2}\implies 2\textit{incribed angle}=\textit{intercepted arc}\)

Answer 2

so I put 30x+30 over 2 ? then solve it from there

Answer 3

yes, you can do it that way

Answer 4

I keep getting 18 and I know that isn't the answer im very confused

Answer 5

\(\bf \textit{incribed angle}=\cfrac{\textit{intercepted arc}}{2}\implies 2\textit{incribed angle}=\textit{intercepted arc}
\\ \quad \\
20x-5=\cfrac{30x+30}{2}\implies 40x-10=30x+30\implies 10x=40
\\ \quad \\
x=4\)

Answer 6

does that give you 18?

Answer 7

I kind of get it now but when I do it myself its doesn't come out the way you do

Answer 8

2(20x-5) distributing the 2, will give you 40x-10

Answer 9

oh ok I get it now thank you so much I appreciate your help

Answer 10

yw

Answer 11

Point C is the center of the circle. If angle ACB measures 4 x plus 12 degrees and AB measures x plus 13 degrees, find x.
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