first find the missing angles. right now you have 30, 60, and 45. that dotted line between 45 and 60 is connected to another line dividing the 360 in half (making it only 180) if its in two parts and part 1 is 60 that makes part 120. you need angle PF though, so add your 120 on to the 30 giving you 150. to check your answer you add up all sides and if it makes 360 then it's right. my answer for angle PF would be 150.