Question

Which of the statements is true about the polygons below

Answer 1

the answer is B, because to circumscribe a quadrilateral the sum of each two opposite angles must be 180

Answer 2

The statement which is true about the polygon below is:

Option: B

It is possible to circumscribe a circle about the rectangle because it's opposite angle is supplementary.

Explanation:

• We know that we can circumscribe a circle around a given quadrilateral if and only if the quadrilateral is cyclic.

• The basic property of a cyclic quadrilateral is that the sum of opposite angles of a given quadrilateral is supplementary( i.e. 180 )

In both the quadrilaterals we see that the sum of opposite angles is 180°.

Hence, both quadrilaterals are cyclic.

Hence, we can circumscribe a circle in both the given quadrilaterals.