Question

prove that each angle of rectangle is a right angle.​

Answer 1

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LET ABCD BE A RECTANGLE IN WHICH ANGLE A =90 DEGREE

WE HAVE TO SHOW THAT

ANGLE B= ANGLE C= ANGLE D=90 DEGREE

WE HAVE AD // BC AND AB IS A TRANSVERSAL

SO, ANGLE A + ANGLE B = 180 DEGREE(INTERIOR ANGLES ON THE SAME SIDE OF THE TRANSVERSAL)

BUT, ANGLE A =90 DEGREE

SO, ANGLE B = 180 - ANGLE A

= 180 - 90

= 90 DEGREE

ANGLE C= ANGLE A

AND

ANGLE D= ANGLE B (OPPOSITE ANGLES OF THE //GM)

SO, ANGLE C=90 AND ANGLE D=90

THEREFORE, EACH OF THE ANGLES OF A RECTANGLE IS 90 DEGREE.

HENCE,PROVED

$\boxed{Hope\:This\:Helps}$

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Answer 2

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