The inscribed angle is 36 degrees less than the central angle resting on the same circular arc. find the inscribed corner.

Let X be the inscribed angle and Y the center angle of the same arc. The inscribed angle is half the size. Let’s write it down with the equation:
2 * X = Y
By the condition of the problem, we write down one more equation:
X + 36 = Y
We substitute the expression Y from the first equation into the second.
X + 36 = 2 * X
X = 36 degrees.
Answer: 36 degrees.