The central angle AOB is 36 more than the inscribed angle ACB find the value of the angle ACB.

Let the value of the central angle AOB be equal to X0, and the value of the inscribed angle ACB equal to Y0.

Then, by hypothesis, X – Y = 36. (1).

Since the value of the inscribed angle is equal to half the value of the central angle, then:

2 * Y = X. (2).

Let us solve the system of two equations 1 and 2 by the substitution method.

2 * Y – Y = 36.

Y = ACB = 36.

X = AOB = Y + 36 = 36 + 36 = 72.

Answer: The ACB angle is 36.