Question

The interior angles formed by the sides of a hexagon have measures that sum to 720 degrees. What is the measure of angle F?

Answer 1

sum of interior angles of polygon = (n - 2) x 180
in this case n = 6
so (6 - 2 ) x 180 = 4 x 180 = 720

x - 60 + x - 40 + 130 + 120 + 110 + x - 20 = 720
3x + 240 = 720
3x = 480
x = 160

m<F = x - 20 = 160 - 20 = 140

answer
<F = 140°