Suppose we have two angles

∠ ABC and ∠ PQR

 

8.jpg

 

Two angles are congruent if

  • They have same shape
  • They have same size

Now,

  All angles of same value will have same shape.

 

For example:

∠ABC and ∠PQR have

  • Same shape - both are angles
  • Same size - Both are 30°

So, they are congruent

 

So, Angles with same values are congruent

 

Therefore,

  Two angles are congruent if they have the same value .

 

Other examples can be:

Congruency of angles - Part 2

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