Question

WITH PICTURE!!3. What is the value of x in the regular polygon below? (3 points)
40
120
60
150

Answer 1

Answer: FIRST OPTION.

Step-by-step explanation:

Regular polygons are those polygons whose sides are equal in length and whose angles are all equal.

By definition each interior angle of a Regular polygon,is:

$\frac{180 ( n -2 )}{n}$  (In degrees)

Where "n" is the number of sides of the polygon.

Observe the Regular polygon given in the exercise.

Since it has 6 sides, you can conclude that it is an Hexagon. Then:

$n=6$

Substituting into  $\frac{180 ( n -2 )}{n}$  and evaluating, you get:

$\frac{180 ( 6 -2 )}{6}=120\°$

Knowing this, you can write the following equation:

$3x=120$

Finally, you must solve for "x" in order to find its value. This is:

$x=\frac{120}{3}\\\\x=40$