Question

find the measure of each exterior angle and each interior angle of a regular pentagon

Answer 1

i hope the above picture perfectly helps you mate

Answer 2

❥︎❥︎ANSWER࿐☃️✨

ɪɴ ᴀ ʀᴇɢᴜʟᴀʀ ᴘᴇɴᴛᴀɢᴏɴ, ᴀʟʟ sɪᴅᴇs ᴀʀᴇ sᴀᴍᴇ sɪᴢᴇ ᴀɴᴅ ᴍᴇᴀsᴜʀᴇ ᴏғ ᴀʟʟ ɪɴᴛᴇʀɪᴏʀ ᴀɴɢʟᴇs ᴀʀᴇ sᴀᴍᴇ.

ᴛʜᴇ sᴜᴍ ᴏғ ɪɴᴛᴇʀɪᴏʀ ᴀɴɢʟᴇs ᴏғ ᴘᴇɴᴛᴀɢᴏɴ ɪs (ɴ-2) × 180degree ᴡʜᴇʀᴇ ɴ ɪs ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏғ sɪᴅᴇs ᴏғ ᴘᴏʟʏɢᴏɴ.

(5-2) × 180degree = 540degree ʜᴇʀᴇ ɴ=5 ʙᴇᴄᴀᴜsᴇ ᴘᴇɴᴛᴀ ᴍᴇᴀɴs 5

ᴇᴀᴄʜ ɪɴᴛᴇʀɪᴏʀ ᴀɴɢʟᴇ= 540/5 = 108degree

ᴀs ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ᴛʜᴇ sᴜᴍ ᴏғ ɪɴᴛᴇʀɪᴏʀ ᴀɴᴅ ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇ ɪs 180degree

ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇ + ɪɴᴛᴇʀɪᴏʀ ᴀɴɢʟᴇ = 1800

ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇ + 108ᴏ= 1800 ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇ = 1800– 108degree= 720.

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