Answer:
The answer is C
Step-by-step explanation:
* Lets talk about some facts in parallelograms and rectangles
- Rectangle is a parallelogram with right angles
- Supplementary angles is two angles their sum is 180°
- The opposite angles in the rectangle are equal and supplementary
- A circle can circumscribe a quadrilateral if the opposite angles of
the quadrilateral are supplementary
- In the parallelograms opposite angles are equal
- The circle can circumscribe a rectangle because its opposite
angles are supplementary
- The circle can't circumscribe a parallelogram because its opposite
angles are not supplementary they are equal
* Lets solve the problem
- Polygon A is a parallelogram
- Polygon B is a rectangle (parallelogram with right angles)
∵ The circle can't circumscribe a parallelogram because its opposite
angles are not supplementary
∴ Polygon A can't circumscribed by a circle
∵ Polygon B is a rectangle its opposite angles are equal the measure
of each one is 90°
∴ Its opposite angles are supplementary
∴ Polygon B can circumscribed by a circle
∵ The rectangle is a parallelogram with right angles
∴ Polygon B represents the only parallelogram that a circle can
circumscribed because opposite angles are supplementary
* The answer is C
