Angle A of four angles ABCB inscribed in a circle is 126 degrees. Find the angle C of this quadrilateral.

By the property of a quadrilateral inscribed in a circle, the sum of its opposite angles is 180.

Angle A + C = 180, then angle C = 180 – A = 180 – 126 = 54.

Answer: The angle C is 54.



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