SOLUTION: The interior angles of a convex polygon of 9 sides are in an arithmetic progression. If the measure of the smallest interior angle is 112, then what is the measure of the largest i

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Question 1122033: The interior angles of a convex polygon of 9 sides are in an arithmetic progression. If the measure of the smallest interior angle is 112, then what is the measure of the largest interior angle?
Answer by Alan3354(69443) About Me  (Show Source):
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The interior angles of a convex polygon of 9 sides are in an arithmetic progression. If the measure of the smallest interior angle is 112, then what is the measure of the largest interior angle?
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The sum of the 9 angles is 1260 degs
--> the 4th angle = 1260/9 = 140 degs
140 - 112 = 28
140 + 28 = 168 degs - the largest angle