Question

A regular polygon has n sides
Each exterior angle is 5n/2 degrees
Find the value of n

Answer 1

Each exterior angle =360/n=x degrees. 360/n=5n/2 720=5n^2 n^2=144 n=12.

Answer 2

There are 12 side regular polygon is there.

Given:

A regular polygon has n sides .

Each exterior angle is $\frac{5n}{2}$ degrees.

To find:

No. of sides of polygon.

Formula used:

Exterior angle of regular polygon = $\frac{360}{n}$

Where    n = number of sides of polygon

Explanation:

Each exterior angle is $\frac{5n}{2}$ degrees.

Exterior angle of regular polygon = $\frac{360}{n}$

                                           $\frac{5n}{2}$  = $\frac{360}{n}$

                                            n² = $\frac{360}{2}$ × 5

                                            n² = 144

                                            n = 12

There are 12 side regular polygon is there

To learn more...

1)What is the angle between two adjacent sides of a regular polygon having 8 sides.

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2)If one of the interior angles of a regular polygon is equal to 9/8 of each interior angle of a regular hexagon.

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