Question

please fast ans this question ​

Answer 1

Gɪᴠᴇɴ :-

• Each Exterior Angle of a Regular Polygon = 24° .

Tᴏ Fɪɴᴅ :-

• No. of sides of Regular Polygon ?

Fᴏʀᴍᴜʟᴀ ᴜsᴇᴅ :-

• Each Exterior Angle of a regular Polygon with n sides is = (360/n) .

Sᴏʟᴜᴛɪᴏɴ :-

Let us Assume That, The Regular Polygon Has Total n sides.

Than, By above Told Formula :-

→ (360/n) = 24°

→ n = (360/24)

→ n = 15 sides (Ans.)

Hence, The Regular Polygon Has 15 sides.

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Extra :-

→ Each Interior Angle of a regular Polygon with n sides is = [(n - 2)180°] / n

→ In a Regular Polygon all angles are equal in measure and all sides have the same length..

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Answer 2

${\huge{\bf{\red{\underline{Solution:}}}}}$

${\bf{\blue{\underline{Given:}}}}$

• Exterior angle = 24°

${\bf{\blue{\underline{To:Find:}}}}$

• Sides of polygon

${\sf{\underline{\blue{Now,}}}}$

$\boxed{\bf{exterior \: angle = \frac{360 \degree}{no. \: of \: sides} }}$

$\implies{\bf{24 \degree = \frac{360 \degree}{no. \: of \: sides} }}$

$\implies{\bf{n = \frac{360 \degree}{24 \degree} }}$

$\implies{\bf{n = 15}}$

${\orange{ \boxed{{ \sf{ Polygon:}}}}}$

• Polygon is a closed figure with any number of sides .