Find the inscribed corner resting on an arc that is 25 percent of the circle.

Let us determine the degree measure of the smaller arc AB.

The full circle is 360 degrees.

Then the degree measure of the arc AB = 360 * (25/100) = 360 * 4 = 90.

Then the degree measure of the inscribed angle ACB resting on the arc AB is equal to half the degree measure of the arc.

Angle ACB = 90/2 = 45.

Answer: The inscribed angle is 45.



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