Given an irregular polygon where all of the angles are known, how many side lengths need to be known, at minimum, to determine the length of the remaining sides?
Given all the angles and the requisite number of side lengths, how to actually calculate the remaining side length?
Example: a 5 Sided polygon's interior angles will add up to 540 degrees. ((5-2)*180=540)
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Given the following interior angles:
AB 140 degrees
BC 144 degrees
CD 78 degrees
DE 102 degrees
EA 76 degrees
And knowing that Side A is 12 units long, can we determine the remaining side lengths? Or are more side lengths needed?
UPDATE:
Since you need three consecutive side lengths of a five sided figure, I'm adding three sides here so I can see an example of how the calculations are done for the remaining two sides:
Side A = 27 7/8"
Side B = 7"
Side c = 13 1/4"