Question

if bisector of interior angle of a quad form a rectangle then prove that it is a parallelogram
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Answer 1

Answer:

To prove: MNOP is a rectangle.

In parallelogram ABCD

∠A=∠D=90

∘

[they form a straight line]

∴IN△AMD,∠M=90

∘

∠M=∠N=90

∘

[they form a straight line]

Similarly,

∠M=∠P=90

∘

And

∠P=∠O=90

∘

∴∠MPO=∠PON∠ONM=∠NMO=90

∘

∴ MNOP is a rectangle. [A rectangle is a parallelogram with one angle 90

∘

]

Answer 2

Answer:

it will be 45 ...........