every rectangle is a paralleolgram writ in conditional statement
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in a parellogram , all the opposite sides are equal and in rectangle, all the opposite sides are equal .
parellogram - Opp. sides parallel
same in rectangle
parellogram- opp angles equal
same in rectangle
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in a parallelogram, opposite sides and angles are equal, the same is with a rectangle..if we take a parallelogram with one of its angles as 90°, then it's opposite angle will also be 90°
....then by angles sum property,
=>90 + 90 + sum of other two angles=360°
=>180 + sum of other two angles=360°
=>sum of other two angles=360-180
.°. the other two angles are equal, we can write them as 'x'
=>X+X = 180
=>2x=180
thus...we can see that all the angles are equal to 90°....this proves that all rectangles are parallelogram
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