Question

True or False? The opposite angles of a quadrilateral in a circumscribed circle are always supplementary.

Answer 1

Answer: True

Explanation:

True, The opposite angles of a quadrilateral in a circumscribed circle is always supplementary.

As we know that quadrilateral in a circumscribed circle is cyclic quadrilateral.

By theorem, sum of the opposite angles of a cyclic quadrilateral is 180°.

So, the statement is true.

Answer 2

True

Explanation:

we know that

Opposite angles in any quadrilateral inscribed in a circle are supplements of each other. (Their measures add up to
`180\°` )

therefore

The answer is True