Question

if all angles of parallelogram are equal. prove that is a rectangle

Answer 1

Answer:

Proof:

Step-by-step explanation:

A parallelogram is a closed figure.

Therefore, the sum of all angles of the parallelogram is 360°.

Let the angle of one vertices be x°

Since all angles are equal, all angles of vertices are x°

Using angle sum property:

x° + x° + x° + x° = 360°

4x = 360°

x = 90°

A parallelogram having all angles equal to 90° is a rectangle. Thus a parallelogram having all angles equal is a rectangle.

Hence Proved.

Hope this helps you.

Answer 2

Answer:

1) Opposite angles of parallelogram are equal .

2) Opposite sides of parallelogram are parallel to each others.

It is also in rectangle,

opposite sides are parallel and opposite angles are equal.

Therefore, parallelogram is rectangle ( Angles 90° and oppo. sides are parallel to each other.