Question

how many diagonal are there in a Pentagon a)4 b)5 c)6 d)9​

Answer 1

Step-by-step explanation:

5 is ur answer......

may be it helps............

Answer 2

Qᴜᴇsᴛɪᴏɴ :-

• how many diagonal are there in a Pentagon ?

Fᴏʀᴍᴜʟᴀ ᴜsᴇᴅ :-

• A Pentagon is any five-sided polygon...
• Number of Diagonals of a Polygon with n-sides is = n(n - 3)/2

Sᴏʟᴜᴛɪᴏɴ :-

→ n = 5

→ Diagonals = {n(n - 3)}/2 = {5 * (5 - 3)}/2 = ( 5 * 2 ) / 2 = 5 (Ans.)

Hence, The Pentagon has total 5 Diagonals.

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Some properties of the Pentagon : -

• In the pentagon, the sum of the interior angles is equal to 540°.
• If all the sides are equal and all the angles are of equal measure, then it is a regular polygon. Otherwise, it is irregular.
• In the regular pentagon, the interior angle is 108°, and the exterior angle is of 72°.
• An equilateral pentagon has 5 equal sides.

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