Question

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

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​ m∠F= ​

Answer 1

Angle F= 140

Explanation:

Answer 2

the hexagons ∑ 720


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

plug in x, and simplify
m∠F = x - 20
m∠F = (160) - 20
m∠F = 140


hope this helps