A stop sign is a regular octagon as shown below What is the

A stop sign is a regular octagon as shown below. What is the value of x?

Solution

First of we calculate total sum of angle of regular octagon

To find the sum of the interior angles of an octagon,

divide it up into triangles

There are six triangles

Because the sum of the angles of each triangle is 180 degrees

We get total = 6 *180 = 1080
we know that the sum of all the angles is 1080 degrees (from above)

And there are eight angle
therefore
x = 1080/8 = 135
Answer X = 135