Math, asked by kumariMuskan2628, 11 months ago

If all angles of a quadrilateral are equal prove that its a rectangle

Answers

Answered by Anonymous
0
\huge\underline\red{HELLO / MATE}
\blue{A /square/ can/ also /have /all equal/ angles.}<br />
Answered by Anonymous
0

Given:

all angles are quadrilateral are equal.

Task:

Draw a quadrilateral ABCD.

We know that:

The sum of all angles is 360 degrees

Now as all angles are equal let each angle be x

Mark x all the angles in ABCD

So:

x+x+x+x = 360 degrees

==> 4 x = 360 degrees

==> x = 360 / 4 degrees

==> x= 90 degrees

Since each angle of ABCD is equal to x.

Each angle is 90 degree

Hence it is a rectangle as all angles are 90 degrees

Hope it helps

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