Q:

I need an answer and explanation please? Very much appreciated! <3​

Accepted Solution

A:
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 equalRST = 180 - 104 = 76then RST and TPQ are also alternate interior angles so both equal 76Now, 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 = 108Let me know if something here doesn't make sense.