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Question

If ABCD is a parallelogram, then which of the following is true?


A

AC=BD

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B

AB=AC

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C

A=130,C=130,B=50

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D

ABAD

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Solution

The correct option is C

A=130,C=130,B=50





In a parallelogram, the adjacent sides and angles are not equal and no sides are perpendicular to other.

A+B=130+50=180
Here, A and B are co-interior angles and their sum is 180.
By the converse of co-interior angles theorem, AD || BC and AB is the transversal.

D+A=50+130=180
Here, D and A are co-interior angles and their sum is 180.
By the converse of co-interior angles theorem, AB || DC and AD is the transversal.


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