SOLUTION: if four angles of a pentagon have measure 100 degree,104 degree,109 degree and 97 degree What is the measure of fifth angle?

Question 765034: if four angles of a pentagon have measure 100 degree,104 degree,109 degree and 97 degree
What is the measure of fifth angle?
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!


The formula for the sum of all the angles of a polygon with n sides is
(n - 2)*180. e.g. for a triangle, n = 3, and sum of angles = (3 - 2)*180 = 180.

For a pentagon, n = 5, so sum of the 5 angles = (5 - 2)*180 = 540 degrees.

You already know the 4 angles. Add them up and subtract the total from 540 to get 
the measure of the 5th angle, which is your answer :)

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