SOLUTION: Suppose the interior angles of a convex pentagon are five consecutive numbers, find the measure of the largest angle.

Question 3298: Suppose the interior angles of a convex pentagon are five consecutive numbers, find the measure of the largest angle.
Answer by drglass(89) (Show Source): You can put this solution on YOUR website!
The formula for finding the interior angles of a regular polygon is:

, where n is the number of sides.

The exterior angle is found by:

.

If we replace I with the formula for interior angles into this equation we get:
.

We know E = 40 from the problem statement, so
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