Question 184462
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The sum of the interior angles of a <i>n</i>-sided polygon in degrees is given by:


*[tex \Large \ \ \ \ \ \ \ \ \ \ \ \  180(n - 2)]


So any heptagon (7-sided polygon) must have interior angles whose measure totals:


*[tex \Large \ \ \ \ \ \ \ \ \ \ \ \  180(7 - 2) = 180(5) = 1260] degrees.


The only problem is, you only specified the measure of 5 of the angles.  So, either you <i><b>really</b></i> meant <i><b>hex</b></i>agon, or you simply failed to specify all of the given angles.  The best that can be done with the given information is to determine the sum of the two missing angles.


Add the measures of the angles you have, then subtract from 1260.  The result will be the sum of the two missing angles in your heptagon.  On the other hand, if you actually meant hexagon, then subtract the sum of the given angles from 720.


John
*[tex \Large e^{i \pi} + 1 = 0]
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