Answer:
Step-by-step explanation:
You need to know angles like PQT and the one labeled 148 equal 180, since putting them together makes a straight line and the relationship between "alternate exterior" and "alternate interior" angles. Basically they are the same
If you need a more in depth explanation on those angles let me know.
ANyway, we'll start with what I mentions at first;
PQT = 180 - 148 = 32
Then PQT and SRT are alternate interior angles so they are equal
RST = 180 - 104 = 76
then RST and TPQ are also alternate interior angles so both equal 76
Now, the sum of angles in a triangle are 180 so TPQ + PQT + QTP = 180 and RST + SRT + RTS = 180. Plugging in what we know gets us RTS = 180 - 108 = 72 = QTP.
You might be wondering how this helps, well, RTQ is a straight line, so PTR + QTP = 180. So that means PTR = 180 - QTP = 180 - 72 = 108
Let me know if something here doesn't make sense.
