Question

what is the sum of 5 of the interior angles of a regular octagon? answer attempt 1 out of 2 submit answer

Explanation:

Step1: Find sum of interior angles of octagon

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, \(n = 8\). So sum is \((8 - 2)\times180^\circ=6\times180^\circ = 1080^\circ\).

Step2: Find measure of one interior angle

In a regular octagon, all interior angles are equal. So one interior angle is \(\frac{1080^\circ}{8}=135^\circ\).

Step3: Find sum of 5 interior angles

Multiply the measure of one interior angle by 5: \(5\times135^\circ = 675^\circ\).

Answer:

\(675\)