Answer:
Step-by-step explanation:
As Angle 5 and Angle 4 form a linear pair, they are supplementary.
Hence,
[tex]Hence,\\Angle\ 5\ +\ Angle\ 4\ =\ 180\\(3x+7)+(9x-43)=180\\12x+(-36)=180\\12x=180+36\\12x=216\\x=18\\\\Hence, Obtuse\ Angle\ UPS = Angle\ 4 + 90\\Hence,\\Obtuse\ Angle\ UPS\ = (3x+7)+90\\\\We\ know\ that\ x=18 \\Hence, Angle\ 4\ = (3*18+7)\\=(54+7)\\=61\\\\Obtuse\ Angle\ UPS\ = 61+90\\=151\\\\\\Reflex\ Angle\ UPS\ = 360-151\\=209[/tex]
