Question

What is the value of x

Answer 1

C. 13

In the circle, angle F is an inscribed angle. The arc measure of an inscribed angle is the inscribed angle times 2. So you set up the equation as;

(6x-8)2=10x+10

Distribute

12x-16=10x+10

Add 16 on both sides

12x=10x+26

Subtract 10x from both sides

2x=26

Divide 2 from both sides

X=13