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Opposite sides of a parallelogram are equal. So ab = dc and ad = bc. But you are also told that ab = bc. So all four sides are equal.

Opposite angles of a parallelogram are equal. So abc =90 degrees implies that cda is 90 degrees. The remaining two angles add up to 360 - (abc + cda) = 180 degrees and both are equal. So they, too , must be 90 degrees each. So all four angles are equal.

A parallelogram with four equal sides and four equal angles is called a square.

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Q: Abcd is a parallelogram ab equals bc and angle abc equals 90 degree explain why abcd is a square?
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