If all the angles of a parallelogram are equal, then it is called:

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Rectangle

Square

Both Rectangle and Square

Rhombus

answer is C.

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Detailed Solution

Concept- To solve this question, first we need to know about a parallelogram. A parallelogram is 4-sided enclosed quadrilateral whose pair of opposite angles are equal as well as pair of opposite sides are parallel and equal as shown in figure below,
Question Image

Also, all the angles of a parallelogram add up to 360 degrees.
We will use the question-mentioned condition with the properties of parallelogram to obtain our desired particular answer.
Given, all the angles of a parallelogram are equal. Let the angles be

, Then,

i.e., all the 4 angles are right-angles. And since there is no information about the lengths of the adjacent sides, our parallelogram can be a rectangle or a square since both are parallelograms having all 4 equal right-angles.
Note: The only difference between a rectangle and a square is that the adjacent sides of a square are also equal, which is not the case in a rectangle; Even simpler to describe, all the 4 sides of a square are equal but in a rectangle.
Hence, the correct answer is 3.

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