Math, asked by Ziyagrande, 1 year ago

prove that each of the four angle of a rectangle is right angle​


300274: which angles

Answers

Answered by arunbanuganesh090
2

Answer:

Step-by-step explanation:

in rectangle all angles are equal

so all angles are equals

∠a+∠b+∠c+∠d =360

4∠a=360

∠a=90

hence all angles are equal and they are 90

after seeing it please comment it


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Answered by Anonymous
8

AnswEr:

\huge\underline\bold{Given:-}

A rectangle ABCD such that \angle A = 90°.

\huge\underline\bold{To\:Prove:-}

\angle A = \angle B = \angle C = \angle D = 90°

\huge\underline\bold{Proof:-}

Since ABCD is a rectangle

\therefore ABCD is a parallelogram

\implies AD || BC

\therefore \angle A + \angle B = 180°

\sf{[Sum\:of\:the\:interior\:angles\:on}

\sf{the\:same\:side\:of\:a\:transversal\:is\:180]}

\implies 90° + \angle B = 180°

\implies \angle B = 90°

Similarly we can show that angle C = 90° and angle D = 90°

Hence, all the four angles of rectangle is of 90°

#BAL

#Answerwithquality

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