Question

Find the number of sides of a regular polygon if each exterior angles is 24 degrees

Answer 1

yea

Explanation:

Answer 2

Question -:

Find the number of sides of a regular polygon if each exterior angles is 24°.

Explanation -:

Given -:

• Exterior angle of a regular polygon is 24°.

To Find -:

• Number of sides of a regular polygon

Solution -

We know,

Sum of all exterior angles regular polygon is 360°.

Measure of each exterior angle of a regular polygon = 24°

`\small\boxed{ \rm{ Number \: of \: sides = ( Sum \: of \: exterior \: angles)/( each \: exterior \: angle)}}`

`\small\sf{ No. \: of \: sides = (360 \degree)/(24\degree) = 15}`

Hence the regular polygon has 15 sides.

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