Question

Show that each angle of a rectangle is a right angle give solution

Answer 1

Given -:A rectangle is a parallelogram in which one angle is a right angle. ABCD be a rectangle in which <A is equal to 90°.AD||BC and AB 8s a transversal .

T.P. -: <b=<C=<b=90°.

Proof -:

<A + <B = 180° {Interior angles on the same

side of the transversal }

<A = 90°

<B = 180° - <A

=180° - 90°

= 90°

Now,

<C = <A

<D = <B. {opposite angles of the

parallelogram }

<C = 90°

<D = 90°

Therefore, each of the angles of a rectangle is right angle .
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Answer 2

Here is the answer

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