1. The exterior angle of a regular polygon is 36^circ (a) How many sides does the have? (b)Calculate the sum of all the interior angles of this regular polygon.

Question

Answer 1

(a) The number of sides of the polygon is

sides.(b) The sum of all the interior angles of this regular polygon is \( (n-2) \times 180 = (10-2) \times 180 = 1440^{\circ} \).

Answer 2

## Step1:The number of sides of a regular polygon can be found by dividing 360 degrees by the measure of each exterior angle. ###

## Step2:The sum of all the interior angles of a regular polygon can be calculated using the formula \((n-2) \times 180\), where

is the number of sides.### \( \text{Sum of interior angles} = (n-2) \times 180 \)

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