SOLUTION: A NONAGON HAS INTERIOR ANGLES OF 147�,146�&193� CALCULATE THE MAGNITUDE OF EACH UNKNOWN INTERIOR ANGELS GIVEN THAT THEY ARE EQUAL

Question 1031755: A NONAGON HAS INTERIOR ANGLES OF 147�,146�&193� CALCULATE THE MAGNITUDE OF EACH UNKNOWN INTERIOR ANGELS GIVEN THAT THEY ARE EQUAL
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
The total number of degrees in a nine-sided nonagon is found by
180(n-2) = 180(9-2) = 180(7) = 1260 degrees
Since three angles are spoken for already, and they total 147+146+193 = 486, there must be 1260 - 486 = 774 degrees left for the other six angles.
Divide that by six and get
774/6 = 129 degrees each.
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