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A day full of math games & activities. Find one near you.
One exterior angle of a regular pentagon has a measure of (2x)°. What is the value of x?
Solution:
It is given that one exterior angle of a regular pentagon has a measure of (2x)°.
As we know that the sum of all exterior angles of a regular polygon is 360°.
And also, all exterior angles of a regular polygon have the same measurement,
i.e. 360/n
Where n is the number of sides of the regular polygon,
We know that for a regular pentagon,
n = 5,
so, the measurement of one exterior angle of the regular polygon,
= 360/5
As per the question,
2x = 360/5
x = 360/10
x = 36
Therefore, the value of x is 36.
One exterior angle of a regular pentagon has a measure of (2x)°. What is the value of x?
Summary:
One exterior angle of a regular pentagon has a measure of (2x)°. The value of x is 36.
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