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Question

If ABCD is a parallelogram with two adjacent angles A and B equal to each other, then the parallelogram is ?

A
Rhombus
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B
Trapezium
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C
Rectangle
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D
None of These
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Solution

The correct option is C Rectangle
Sum of any two adjacent angles of a parallelogram is 180o.
Given, A=B
A+B=180o
2A=180o
A=90o
A=B=90o
Similarly C=D=90o
So, all angles are 90 so it is a rectangle.

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