Question

A parallelgram is a rectangle if one of it's angles is right angle State true or false tell me fast ​

Answer 1

Answer:

false

Step-by-step explanation:

⇒ In given figure quadrilateral ABCD is a rectangle.

⇒ We know that, rectangle is a parallelogram where one angle 90$∘

⇒ Hence, lets assume ∠A = 90

∘

⇒ AD∥BC and AB is a transversal ( Opposite sides of parallelogram are parallel)

⇒ So, ∠A + ∠B = 180

∘

(Interior angles on the same side of transversal are supplementary)

⇒ ∠B + 90

∘

= 180

∘

⇒ ∠B = 180

∘

- 90

∘

⇒ ∠B = 90

∘

Now, we know that,

opposite angles of parallelogram are equal

∴ ∠C = ∠A and ∠D = ∠B

∴ ∠C = 90

∘

and ∠D = 90

∘

Hence, we have proved that each of the angles of a rectangle is a right angle.

solution

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Answer 2

Answer:

Look at the answer up.

Step-by-step explanation:

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