Question

the measures of an angles in a parallelogram is 90 degree what are the measures of all the angles of the parallelogram​

Answer 1

Let the ||gm be ABCD

and angle A = 90

In a ||gm the opposite angles are equal

So,

Angle A = Angle C = 90

Angle A + Angle B = 180 (Linear Pair)

Angle B = 90

Angle B = Angle D (Opposite Angles)

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Answer 2

In the //gm ABCD,

∠A = 90°

Therefore,

∠C = ∠A (opposite angles of //gm are equal)

∴ ∠C = 90°

Now,

∠A + ∠B = 180°  (sum of adjacent angles of a //gm is 180°)

⇒ 90° + ∠B = 180°

∠B = 180° -  90°

∠B =  90°

And,

∠D = ∠B  (opposite angles of //gm are equal)

∠D = 90°

Hence, the measures of all the angles of the parallelogram are 90°,  90°, 90°,  90°.

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