The angle A of the quadrilateral ABCD, inscribed in the circle, is 48. Find the angle C of this quadrilateral.

The inscribed angle BAD is based on the BCD arc, then the degree measure of the BCD arc = 48 * 2 = 96.

Then the degree measure of the arc BAD = 360 – 96 = 264.

The inscribed angle BCP is equal to half the degree measure of the BAD arc.

Angle ВСD = 264/2 = 132.

Answer: The BCD angle is 132.



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