Question

Describe the process you would use to explain to your parents (or other significant adults in your life) how you could calculate the sum of the interior angles of a 12-sided object without measuring them.
Use a word processor, to write up the process you have developed.

Answer 1

Answer:

The sum of the interior angles of the 12-sided object without measuring the sides is 1800 degrees.

Step-by-step explanation:

A polygon is a shape with 4 or more sides. Hence a 12-sided figure will be regarded as a polygon.

I will let them understand that the formula for calculating the sum of the interior angle of a regular polygon is expressed using the formula;

S = (n-2)*180 where:

n is the number of sides

Since we are considering a 12-sided object, then n = 12

The next thing is to tell them to substitute n = 12 into the formula given above as shown;

S = (12-2)*180

S = 10 * 180

S = 1800

This shows that the sum of the interior angles of the 12-sided object without measuring the sides is 1800 degrees