State whether the following statement is true or false:The bisectors of angles of a parallelogram form a rectangle.

# State whether the following statement is true or false:The bisectors of angles of a parallelogram form a rectangle.

1. A
True
2. B
False

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### Solution:

Given, a parallelogram.
In   ,
[AS and DS are angle bisectors.]

[As   and  are adjacent angles of a parallelogram.]

In  ,
[By angle sum property of triangle.]
[Proved above]
Similarly,   and   Thus, PQRS is a rectangle as its internal angle is  .
Hence, the given statement is true.

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