Question

What is the measure of each interior angle of the regular polygon picture below ?if necessary, round to the nearest tenth

Answer 1

Our figure is a regular polygon. A polygon is regular when all angles are equal and all sides are equal. The measure of each inside angle of a regular polygon is given by the following expression

`(180^o*(n-2))/(n)`

Where n represents the amount of sides.

Since our polygon is a regular hexagon, we have n = 6. Using this value on the expression, we have

`(180^o*(6-2))/(6)=(180^o*4)/(6)=(720^o)/(6)=120^o`

The measure of each interior angle a regular hexagon is 120º.