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Question

If opposite angles of a parallelogram are supplementary, then the parallelogram is _____ .



A
Trapezium
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B
Rectangle
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C
Rhombus
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D
None of the above
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Solution

The correct option is B Rectangle

We know that,
the opposite angles of a parallelogram are equal.
ie.  A= C and  B= D ...(i)
If they are supplementary as well, then
 A+ C=180 
from (i),
 A+ A=180 
2 A=180 
 A=90 

Similarly,
 C=90 
It means that each angle will be equal to 90.
A parallelogram whose internal angles are all 90 is a rectangle. Thus, the figure will be a rectangle.


Mathematics

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