Question

Please help! (image is for question 3)

1What is the measure of each interior angle of a regular hexagon? Enter your answer in the box.
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2What is the sum of the measures of the exterior angles of a pentagon? Enter your answer in the box.
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3What is the value of x? Enter your answer in the box.
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4What is the measure of an exterior angle of a regular pentagon? Enter your answer in the box.
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Answer 1

Answer: 84 degrees

Explanation: It said I got it right on my test.

Answer 2

The formula for the total sum of the inner angles of the polygon is

Sn= (n-2) 180°

1) S6= (6-2) 180 = 4*180 = 720° In the hexagon all angles are equal

α= S6/6= 720/6= 120°

2) In each polygon the sum of the external angles is 360°

3) S5= (5-2) 180 = 540° than we can add up all angles

x+131+108+107+110=540 => x= 540-456= 84°

4) α = 360/5=72°

Good luck!!!