Question

if each angle of a quadrilateral is a right angle, then prove that the opposite sides of the quadrilateral are parallel

Answer 1

Given : In a quadrilateral ,

<A = <B = <C = <D = 90°

To prove : i ) AB//DC

ii ) AD // BC

Proof :

AD is the transversal to AB and DC

<A + <D = 180°

[ sum of interior angles of same side of

the transversal supplementary ]

AB // DC

similarly ,

AB is the transversal to AD and BC .

<A + <B = 180°

AD // BC

Hence proved.

I hope this helps you.

: )

Answer 2

Step-by-step explanation:

Just follow my steps

Hope it's helped you.