Question

Is it correct to say that any two right angles are congruent? Given a reason to justify your answer.

Answer 1

Hint: Start with understanding the definition of an angle. Then define what a right angle is. Now according to the definition of congruence, define the congruency for two angles. Use all this understanding to prove your answer.

Complete step-by-step answer:
First, we need to understand what the definition of an angle in geometry is. In geometry, an angle can be defined as the figure formed by two rays meeting at a common endpoint. An angle is a measure in terms of degrees or in radian. Degrees are based on the unit where a whole angle, i.e. circle is divided into $360$ equal parts. Each of these parts is called a degree.
Angles are basically divided into parts which are: Acute, Obtuse, Right, Straight, Reflex and Whole angle. An acute angle is angle less than $90^\circ $ . An obtuse angle is greater than $180^\circ $. A right angle is $90^\circ $ where both the arms of an angle are perpendicular. A straight angle is $180^\circ $where both arms are completely opposite to each other.
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. Two angles are said to be congruent when they have the same measure of the angle. The direction and orientation of the rays or arms attached do not matter.
So, for the answer, we can say that, yes, it is correct to say that any two right angles are congruent.

Note: Another way to justify your answer by proving the congruence by a different means. In practice, two objects are said to be congruent when they overlap or cover each other completely when kept on top of one another. All the right angles always overlap each other completely.