Question

Find the number of sides of a regular polygon whose each exterior angle has a measure

of 60°​

Answer 1

$\green \bigstar \blue{ \underbrace \red{\large \underline{ \frak{Given \: that, }}}}$

• Exterior angle of regular polygon is 60°

$\green \bigstar \blue{ \underbrace \red{\large \underline{ \frak{To \: find , }}}}$

• Find the number of sides of a regular polygon

$\green \bigstar \blue{ \underbrace \red{\large \underline{ \frak{Formula \: used , }}}}$

• We will used formula Exterior angle × number of side = 360°

$\green \bigstar \blue{ \underbrace \red{\large \underline{ \frak{solution , }}}}$

Let the number of sides of the polygon be n, it's given that the measure of each side of exterior angle of the polygon is 60°

Using the formula,$\sf \red{Exterior \: angle × Number \: of \: side = 360°}$

We get,

$\qquad \qquad\longmapsto \sf \: 60° \times n = 360° \\ \\ \longmapsto \sf \: n = \cancel \frac{360°}{60°} \\ \\ \longmapsto \underbrace{ \sf \boxed{ \sf n \: = 6}}$

∴ The number of sides of a polygon with each exterior angle 60∘ is 6.

Answer 2

Step-by-step explanation:

360/60 = 6 sides.

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