Question

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

Answer 1

x=7

Explanation:

Subtract 10x

from both sides of the equation.

12x−7−10x=7

Subtract 10x

from 12x

2x−7=7

Add 7

to both sides of the equation.

2x=7+7

Add 7 and 7

2x=14

Divide each term by 2 and simplify.

x=7

Answer 2

check the picture below.

bear in mind that, arcs get their angle measurement from their central angle. Thus, those two are equal.