If one of the angle of parallelogram is 90° then all the other angles are equal to .

75°

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135°

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45°

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90°

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Solution

The correct option is D 90°
Given that,
One of the angle of a parallelogram is 90°
Let ABCD be parallelogram and let $∠ A = 90 °$ $∠ A + ∠ B = 180 °$
[Adjacent angles of a parallelogram are supplementary]
$⟹ 90 ° + ∠ B = 180 °$
$∴ ∠ B = 90 °$
Also, $∠ A = ∠ C$ and $∠ B = ∠ D$
[Opposite angles of a parallelogram are equal]
$∴ ∠ A = ∠ B = ∠ C = ∠ D = 90 °$

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