SOLUTION: The measures of the interior angles of a convex octagon are 45 x°, 40x°, 155°, 120°, 155°, 38x°, 158°, and 41x°. What is the measure of the smallest interior angle?

Question 1191621: The measures of the interior angles of a convex octagon are 45 x°, 40x°, 155°, 120°, 155°, 38x°, 158°, and 41x°. What is the measure of the smallest interior angle?

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The measures of the interior angles of a convex octagon are 45 x°, 40x°, 155°, 120°, 155°, 38x°, 158°, and 41x°. What is the measure of the smallest interior angle?
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The sum of the interior angles is 6*180 = 1080 degs
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45x + 40x + 155 + 120 + 155 + 38x + 158 + 41x = 1080
164x + 588 = 1080
164x = 492
x = 3
etc
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