Question

what is the measure of each interior angle of a regular octagon? 45° 60° 120° 135°

Explanation:

Step1: Find the sum of interior angles

The formula for the sum of interior angles of a polygon is \((n - 2)\times180^{\circ}\), where \(n\) is the number of sides. For an octagon, \(n = 8\).

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Step2: Calculate the measure of each interior angle

Since it is a regular octagon (all interior angles are equal), divide the sum \(S\) by \(n\).

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Answer:

\(135^{\circ}\) (the fourth option)