# geometry

The measure of a single angle in a regular octagon is (4x + 12)°. Find the value of x. Show equations and all work that leads to your answer.

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1. The sum of the internal angles of a polygon of N sides is
(180)*(N-2) degrees.
For N = 8 (any octagon), the total is 6*180 = 1080 degrees, and in a regular octagon, each angle is 1/8 of that or 135 degrees.

Set 4x + 12 equal to 135 and solve for x. The answer will not be an integer

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