Question

the sum of the interior angles of an octagon is 1080°. each angle incre degrees. what is the measure of the second angle? o 123° o 114.5° o 117.5° o 126.5° o none of these answers are correct.

Explanation:

Step1: Find the number of sides of octagon

An octagon has \(n = 8\) sides.

Step2: Calculate the measure of each interior angle

The formula for the measure of each interior angle of a regular polygon is \(\frac{(n - 2)\times180^{\circ}}{n}\).
Substitute \(n = 8\) into the formula: \(\frac{(8 - 2)\times180^{\circ}}{8}=\frac{6\times180^{\circ}}{8}=\frac{1080^{\circ}}{8} = 135^{\circ}\).

Answer:

None of these answers are correct.