SOLUTION: james claims to have drawn a convex pentagon with the angles measuring 80 degrees, 70 degrees, 120 degrees, 100 degrees and 6 degrees. Is this possible?

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Question 626986: james claims to have drawn a convex pentagon with the angles measuring 80 degrees, 70 degrees, 120 degrees, 100 degrees and 6 degrees. Is this possible?
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
james claims to have drawn a convex pentagon with the angles measuring 80 degrees, 70 degrees, 120 degrees, 100 degrees and 6 degrees. Is this possible?
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sum of interior angles of a pentagon: (5-2)180 = 3*180 = 540 degrees
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James's pentagon: 80+70+120+100+6 = 376 degrees
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Not possible.
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Cheers,
Stan H.
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Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

convex pentagon with the angles measuring 80 degrees, 70 degrees, 120 degrees, 100 degrees and 6 degrees. 

Is this possible? Pentagon(5 sides) 

 80° + 70° + 120° + 100° + 6° = 376°  NOT  possible for a pentagon 

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