Nicholas says that two pairs of congruent angles can be used to show that the two triangles are similar. Is he correct?

yes he is correct

Step-by-step explanation:

we know that he is correct because if two of the angles are congruent then the third is also congruent.

further explanation

lets say the angles are 90 and 50.

a triangle measures 180 degrees, so to know the third we add those angles and subtract it by 180. 90+50=140, 180-140=40

40 is the third angle for both angles so we can say Nicholas is correct :)