Question

How do I solve angle measurements and find the value of x on a polygon

Answer 1

ANSWER and EXPLANATION

We want to find out how to find the measurement of angles in a regular polygon.

To do this, first we have to know the total angle in the entire polygon.

To find this, we use the formula:

Total Angle = 180(n - 2)

where n = number of sides of the polygon

Now, after finding that total angle, we can find the individual angles in the polygon by dividing that total angle by the number of angles in the polygon.

For example, consider the diagram below:

Let us take that as a regular pentagon with 5 sides.

This means that n = 5.

Therefore, the total angle in the pentagon is:

Total Angle = 180(5 - 2)

Total Angle = 180 * 3 = 540 degrees.

Now, there are 5 angles in the polygon. Therefore, the value of x is:

`x\text{ = }(540)/(5)=108^o`

That is how to find the individual angles in a polygon.