Question

1. given the following polygons, determine their interior angle sum:

a. 18 - gon
b. heptagon

Explanation:

Step1: Recall the formula for the sum of interior angles of a polygon

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

Step2: Calculate for an 18 - gon

For an 18 - gon, \(n = 18\). Substitute \(n\) into the formula: \((18 - 2)\times180^{\circ}=16\times180^{\circ}=2880^{\circ}\)

Step3: Calculate for a heptagon

For a heptagon, \(n = 7\). Substitute \(n\) into the formula: \((7 - 2)\times180^{\circ}=5\times180^{\circ}=900^{\circ}\)

Answer:

a. \(2880^{\circ}\)
b. \(900^{\circ}\)