Answer:
F = 105
Explanation:
The sum of the interior angles of a polygon with n sides is (n – 2)180.
This polygon has 6 sides so the sum of the interior angles is (6-2) * 180 =
720
Add up the angles
x-60 +x-40 +130 +120 +110 + x-20 +x-20 = 720
Combine like terms
4x +220 = 720
Subtract 220 from each side
4x+220-220 = 720-220
4x = 500
Divide each side by 4
4x/4=500/4
x = 125
We want to find angle F
F = x-20
= 125-20
105