We are asked to solve for the value of x given that the center is the point C and the ∠ACB is 12x-7 while the given arc is equal to 10x-7. To solve this problem, we need to remember that the summation of angle ACB and angle ADB is equal to 360°. Hence, the solution is shown below: ∠ACB + ∠ADB = 360° 12X - 7 + 10X -7 = 360 , combine same term such as: 22x - 14 = 360 , transpose -14 to the right side such as: 22x = 360 + 14 22x = 374 , divide both sides bu 22 22x/ 22 = 374 / 22 x = 17
The answer to this problem is 17 and this is the value of x.
