SOLUTION: Point C is the center of the circle. The measure of angle ACB is 12x – 7. Arc ADB measures 10x – 7. Find the value of x.

Algebra ->  Angles -> SOLUTION: Point C is the center of the circle. The measure of angle ACB is 12x – 7. Arc ADB measures 10x – 7. Find the value of x.      Log On


   

Question 562704: Point C is the center of the circle. The measure of angle ACB is 12x – 7. Arc ADB measures 10x – 7. Find the value of x.
Answer by issacodegard(60) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, I'll answer this assuming that the radius is 1.
when we measure in radians, we see that
%28angle%2F%282%2Api%29%29%2Acircumference=arc+length
circumference=2%2Api%2Aradius
So,
angle%2Aradius=arc+length
So we have,
%2812x%2B7%29%2A1=10x-7
2x=-14
x=-7