A quadrilateral ABCD is inscribed in a circle. Find the angle ADC if the angle ABC = 48 °.

Let’s construct the AC diagonal. The inscribed angle ABC rests on the arc ADC, then the degree measure of the arc ADC = 2 * 48 = 96.

The degree measure of the circle is 360, then the arc ABC = 360 – 96 = 264.

Then the inscribed angle is ADC = 264/2 = 132.

Answer: The value of the ADC angle is 132.

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