One exterior angle of a regular pentagon has a measure of (2x) what is the value of x

2 answers:

8 0

<span>Each Exterior Angle = (360 degrees) ÷ (Number of Sides)
</span>
A pentagon has 5 sides so

<span>Each Exterior Angle = 360 / 5
</span>
Each Exterior Angle =72
If the exterior angle = 2x and the angle = 72 degrees then
2x = 72 and
x = 36
Source:
http://www.1728.org/polygon.htm

NikAS [45]4 years ago

7 0

Answer:

x = 36° .

Step-by-step explanation:

Given : One exterior angle of a regular pentagon has a measure of (2x).

To find : what is the value of x.

Solution : We have given

One exterior angle of a regular pentagon has a = (2x).

Each exterior angle = $\frac{360}{number\ of\ exterior\ angle}$ .

Plug the values each exterior angle = 2x , number of exterior angle = 5.

2x = $\frac{360}{5}$ .

2x = 72.

On dividing both sides by 2

x = 36.

Therefore, x = 36° .

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