Question

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Answer 1

$\huge\underline{Answer}$

Sᴜᴍ ᴏғ ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇ ᴏғ ᴇᴠᴇʀʏ ᴘᴏʟʏɢᴏɴ ɪʀʀᴇsᴘᴇᴄᴛɪᴠᴇ ᴏғ ɴᴜᴍʙᴇʀ ᴏғ ɪᴛs sɪᴅᴇs = 360°

ᴀs ɪᴛ ɪs ᴀ ʀᴇɢᴜʟᴀʀ ᴘᴏʟʏɢᴏɴ , Aʟʟ ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇs ᴀʀᴇ ᴇǫᴜᴀʟ ᴀɴᴅ ᴀʀᴇ = 72 °

$so \: number \: of \: sides \: of \: the \: polygon \: = \frac{360}{72} \\ \frac{360}{72} = 5$

Tʜᴇʀᴇғᴏʀᴇ ᴛʜᴇ ᴘᴏʟʏɢᴏɴ ʜᴀs 5 sɪᴅᴇs .

Answer 2

Answer:

sum of exterior angles = 360°

let the no. of sides be = n = no. of exterior angles

each exterior angle = 72°

72n = 360

n = 5.

Step-by-step explanation:

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