Question

What is the common angle of triangle PQT and triangle RSQ?

angle PQT
angle SPT
angle SRQ
angle SUT

Answer 1

The common angle of triangle PQT and triangle RSQ is angle PQT. 
So, the right answer will be A OPTION.

Answer 2

we know that

The internal angles of the triangle $PQT$ are

Angles

$TPQ$

$PQT=SQR$

$QTP$

The internal angles of the triangle $RSQ$ are

Angles

$SRQ$

$SQR=PQT$

$QSR$

therefore

the answer is

$angle\ PQT$