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

Question

asked May 3, 2018 8.5k views

2 Answers

Psychonomics · Answer 1 · 2018-05-04T06:18:55+0000

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.

Ojas Kale · Answer 2 · 2018-05-09T22:56:11+0000

Answer:

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