We are asked to find the value of x given that the center of the circle is point C and the measure of angle ACB is 15x + 20. We are also given with the angle of arc ADB which measures 20X -10. In order for us to solve this problem, we need to remember that the summation of angle ACB and angle ADB is 360 degrees such as the solution is shown below:
∠ACB + ∠ADB = 360°
15X + 20 + 20X -10 = 360 , perform summation of same term such as:
35x +10 = 360 , transpose 10 to the opposite side such as:
35x = 360 - 10
35x = 350 , divide both sides by 35
35x/35 = 350/35
x = 10
The value of x is 10.
