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The interior angles formed by the sides of a hexagon have measures that sum to 720°. What is the measure of angle F? Enter your answer in the box. ​ m∠F= ​
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The interior angles formed by the sides of a hexagon have measures that sum to 720°. What is the measure of angle F?

Enter your answer in the box.

​ m∠F= ​

The interior angles formed by the sides of a hexagon have measures that sum to 720°. What-example-1
User MattF
by
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2 Answers

2 votes

Answer:

Angle F= 140

Explanation:


User Lopata
by
7.2k points
3 votes

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


User Manatok
by
7.6k points
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