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[tex]\huge\underline{Answer}[/tex]
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 °
[tex]so \: number \: of \: sides \: of \: the \: polygon \: = \frac{360}{72} \\ \frac{360}{72} = 5 \\ [/tex]
Tʜᴇʀᴇғᴏʀᴇ ᴛʜᴇ ᴘᴏʟʏɢᴏɴ ʜᴀs 5 sɪᴅᴇs .
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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