Question

If one angles of a parallogram is a right angle prove that is a rectangle​

Answer 1

Answer:

Opposite angle is also right angle

Then sum of the other 2 are equal no.

So sum of them is 180. Hence proved all angles are 90. Therefore a parallelogram with right angles is a rectangle!

Step-by-step explanation:

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Answer 2

Solution :

In PQRS, m angle P = 90

The opposite angles of a parallelogram are congruent.

m angle R= m angle P = 90

PQ || SR and SP is their transversal.

angle P and angle S are the interior angles on the same side of the transversal SP

m angle P + m angle S = 180

But m angle P =90.

So m angle S = 90

Hence m angle Q = 90 (opposite angles in a parallelogram)

m angle P = m angle Q = m angle R = m angle S = 90

=> PQRS is a rectangle.