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
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Answer 2

Answer:

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.              

Step-by-step 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.