Question

Find the no. of the side of a regular polygon whose each exterior angle has a measure of
(i) 24
(ii) 60
(iii) 72
These no. have degrees on them

Answer 1

Answer:

24 is correct answer for the question

Answer 2

Question :-

➸ Find the number of Sides of a Regular Polygon whose each Exterior Angle has a measure of :-

• 24°
• 60°
• 72°

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Answer :-

• 24° = 15 sides .
• 60° = 6 sides .
• 72° = 5 sides .

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Explanation :-

• Here, Exterior Angles are given 24° , 60° , 72° . And, we have to calculate the number of Sides of the given Angles .

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● As we know ,

• Sum of the Exterior Angles of Regular Polygon = 360° .

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➻ Solving 1 Question :-

$\Longrightarrow \: \: \sf{ No. \: of \: sides = \frac{360}{24} }$

$\Longrightarrow \: \: \sf{No. \: of \: sides = 15}$

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➻ Solving 2 Question :-

$\Longrightarrow \: \: \sf{No. \: of \: sides = \frac{360}{60} }$

$\Longrightarrow \: \: \sf{No. \: of \: sides = 6}$

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➻ Solving 3 Question :-

$\Longrightarrow \: \: \sf{No. \: of \: sides = \frac{360}{72} }$

$\Longrightarrow \: \: \sf{No. \: of \: sides = 5}$

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Hence :-

• Angle 24° has 15 sides .
• Angle 60° has 6 sides .
• Angle 72° has 5 sides .

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