Question

show that each angle of a rectangle is a right angle​

Answer 1

Let ABCD be a rectangle.

We have to prove that <A=<B=<C=<D

We know that a rectangle is parallelogram

Let us assume <A=90°

Now,

AD||BC [opposite sides of a parallelogram]

And AB s transversal.

So<A+<B=

180° [interior of the same]

=>90°+<B=180°

=><B=90°

Again we know that opposite angles are parallel.

<C=<A and <D=<B

<C=90°and <D=90°

<A=<B=<C=<D= 90°

Hence,it is proved that ABCD is a rectangle.

Answer 2

here's your answer...hope it helps