How do you prove that the angles opposite to each other in a cyclic quadrilateral are supplementary using the properties of a circle?
Answer 1
Michael Hobbs
In a cyclic quadrilateral, the sum of the opposite angles is supplementary because the measure of an angle subtended by an arc at the circumference is half the measure of the angle subtended by the same arc at the center. Therefore, the opposite angles sum to 180 degrees.
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