SOLUTION: If the exterior angles of a convex octagon are x + 13, 2x - 1, 2x + 6, 2x + 12, 2x - 17, 3x - 4, 3x - 10, and 4x, calculate the smallest of the eight angles.

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Question 201946: If the exterior angles of a convex octagon are x + 13, 2x - 1, 2x + 6, 2x + 12, 2x - 17, 3x - 4, 3x - 10, and 4x, calculate the smallest of the eight angles.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If the exterior angles of a convex octagon are x + 13, 2x - 1, 2x + 6, 2x + 12, 2x - 17, 3x - 4, 3x - 10, and 4x, calculate the smallest of the eight angles.
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Add all those algebraic expressions to get: 19x -1 = 360 degrees
19x = 361
x = 19
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The smallest angle is 2x-17 = 31 degrees
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Cheers,
Stan H.