Question

how to find the sum of outer angles of a polygon.give answer with equation.​

Answer 1

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☛ᴛʜᴇ sᴜᴍ ᴏғ ᴛʜᴇ ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇs ᴏғ ᴀ ʀᴇɢᴜʟᴀʀ ᴘᴏʟʏɢᴏɴ ᴡɪʟʟ ᴀʟᴡᴀʏs ᴇǫᴜᴀʟ 360 ᴅᴇɢʀᴇᴇs.

☛ᴛᴏ ғɪɴᴅ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ ᴀ ɢɪᴠᴇɴ ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇ ᴏғ ᴀ ʀᴇɢᴜʟᴀʀ ᴘᴏʟʏɢᴏɴ, sɪᴍᴘʟʏ ᴅɪᴠɪᴅᴇ 360 ʙʏ ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏғ sɪᴅᴇs ᴏʀ ᴀɴɢʟᴇs ᴛʜᴀᴛ ᴛʜᴇ ᴘᴏʟʏɢᴏɴ ʜᴀs.

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ǫᴜᴇs→ ғɪɴᴅ ᴛʜᴇ sᴜᴍ ᴏғ ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇs ᴏʙᴛᴀɪɴᴇᴅ ᴏɴ ᴘʀᴏᴅᴜᴄɪɴɢ, ɪɴ ᴏʀᴅᴇʀ, ᴛʜᴇ sɪᴅᴇs ᴏғ ᴀ ᴘᴏʟʏɢᴏɴ 10?

ᴀɴs→ ɴᴏ. ᴏғ sɪᴅᴇs ɴ = 10

sᴜᴍ ᴏғ ɪɴᴛᴇʀɪᴏʀ ᴀɴᴅ ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇ= 10×180°= 1800

ʙᴜᴛ sᴏᴍᴇ ᴏғ ɪɴᴛᴇʀɪᴏʀ ᴀɴɢʟᴇs= (n-2)*180°

= (10-2)*180°

= 1440

ʜᴇɴᴄᴇ, sᴜᴍ ᴏғ ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇs= 1800-1440 = 360°

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Answer 2

Step-by-step explanation:

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