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Romashka-Z-Leto [24]
3 years ago
15

If the angle bisectors of a pair of opposite angles of a quadrilateral are the opposite sides of a parallelogram formed by the t

wo angle bisectors and two sides of the quadrilateral, is the quadrilateral always a parallelogram? Explain your answer.
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0

Answer:

The correct answer is;

No, the quadrilateral is not always a parallelogram

Step-by-step explanation:

Since there are only four opposite angles in a quadrilateral there are only two possible angle bisectors of the opposite angles also, the angle bisectors of a pair of opposite angles of a quadrilateral will intersect within the quadrilateral and therefore they cannot form the sides of a parallelogram

Therefore, the answer is no, the quadrilateral is not always a parallelogram.

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