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e-lub [12.9K]
3 years ago
5

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

Mathematics
1 answer:
monitta3 years ago
8 0

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

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