Find the inscribed angle resting on an arc that is 7/18 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 * (7/18) = 20 * 7 = 140.

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 = 140/2 = 70.

Answer: The inscribed angle is 70.



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