Question

Find number of sides of a regular polygon if of its exterior polygon is 24 degree.

Answer 1

Answer:

Let the no. of sides be n

Measure of exterior angle be 360/n

Therefore, 360/n = 24 °

=> n= 360/24

=> n= 15

So, the required side is 15....

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Answer 2

Answer:

Number of sides = 15

Step-by-step explanation:

A quick formula is,

Measure of exterior angle of n-sided polygon = 360/n

where, n = no. of sides of a polygon

Measure of exterior angle = 24° ....... Given

∴ 24 = 360/n

∴ n = 360/24

∴ n = 15