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Q.

ABCD is a parallelogram as shown in the figure. Question Imageif Question Imageand P is the midpoint of AB :


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is A.

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Detailed Solution

Concept- A parallelogram is a simple quadrilateral with a pair of two  parallel sides. The lengths of the opposite sides of the parallelogram are equal, and the angles of the opposite sides of the parallelogram are also equal.
If Question Image, then,
Question ImageAlso Question Image is the midpoint of AB, then,
Question ImageQuestion ImageQuestion ImageSo, Question Image. This shows that Question Image is an isosceles triangle.
Question ImageIn the same way, Question Image.
Also, Question ImageQuestion ImageQuestion ImageThe sum of adjacent angles of a parallelogram is Question Image, therefore,
Question ImageHence, option 1 is correct.
 
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ABCD is a parallelogram as shown in the figure. if and P is the midpoint of AB :