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Genrish500 [490]
2 years ago
12

A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.

Mathematics
1 answer:
Anestetic [448]2 years ago
8 0

The opposite angles of the cyclic quadrilateral are equal to 180 degrees which are supplementary angles.

<h3>What is a cyclic quadrilateral?</h3>

If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.

A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.

We know that the sum of the opposite angles of the cyclic quadrilateral is equal to 180 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

More about the cyclic quadrilateral link is given below.

brainly.com/question/15061291

#SPJ1

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