Question

What is the common angle of pqt and rsq

Answer 1

Heyo! ;D

So, analyzing the question above, the internal angles of ΔPQT are as follows:

∠TPQ

∠PQT ≅ ∠SQR

∠QTP

The internal angles of ΔRSQ would be as follows:

∠SRQ

∠SRQ ≅ ∠PQT

∠QSR

Hence, ∠PQT would be the common angle of ∠PQT and ∠RSQ. Hope this helps!

Answer 2

The common angle is the angle that exists in both triangles (pqt and rsq).

Logically, it would be the angle having the same name in both triangles. In our case, it is angle q

Mathematically, we would take a look at both triangles and then get the angle that is found in both.
For example, take a look at the attached picture and comparing the angle in both triangles, we will find that the common angle is angle q