Question

BRAINLIEST QUESTION!! ✌

PROVE THAT IF ONE OF THE ANGLE OF A PARALLELOGRAM IS 90 DEGREE THEN IT IS A RECTANGLE.. ✔✔

PROVE IT!!

Answer 1

Hey mate!

Here is your answer

Yes, a parallelogram with a right angle has all right angles and is a rectangle.

Explanation:

In a parallelogram adjacent angles are supplementary, that is their sum is

180°

. For proof refer to Unizor, menu items Geometry - Quadrangles - Parallelogram.

Therefore, adjacent angle to the one that is equal to

90° is measured

180°− 90°=90°

, that is it's also right angle.

Since there are two adjacent angles, both are equal to

90°

The remaining angle is opposite to a given, and opposite angles are equal in a parallelogram. So, it is also

90°

So, all four angles are right angles and a parallelogram is a rectangle.

HOPE IT HELPS ☺️!

HAVE A GREAT DAY !