The pentagon FLIPS has interior angles that measure 110 degrees , 20x degrees , 95 degrees , 50x degrees , and 100 degrees. Solve for “x”.

Answer 1

sum of the interior angles:

180*(5-2) = 180*3 = 540

540 = 110 +20x + 95 + 50x + 100

540 = 70x + 305

245 = 70x

x = 245/70 = 3.5

check: 100 + 3.5*20 + 95 + 50 * 3.5 + 100

100 + 70 + 95 + 175+100

170 + 95 + 175 + 100

265 + 175 + 100

440 + 100

540

x=3.5