Show that each angle of a rectangle is a right angle
Answers
Answered by
13
LET ABC 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 TRANSVERSAL0
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
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 TRANSVERSAL0
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
karthikeyavasireddy1:
Thanks a lot
Answered by
29
Hope it was helpful:-)
Attachments:
Similar questions