Question

Find the number of sides of a regular polygon whose each interior angle measures 120 degrees

Answer 1

Answer:

Answer:interior angle = 120 deg, then each exterior angle = 180–120 = 60 deg. So the polygon has 360 deg/60 deg = 6 sides

Answer 2

Answer:

Iғ ɪɴ ᴀ ʀᴇɢᴜʟᴀʀ ᴘᴏʟʏɢᴏɴ,

ᴇᴀᴄʜ ɪɴᴛᴇʀɪᴏʀ ᴀɴɢʟᴇ = 120 ᴅᴇɢ,

ᴛʜᴇɴ

ᴇᴀᴄʜ ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇ = 180–120 = 60 ᴅᴇɢ.

Sᴏ ᴛʜᴇ ᴘᴏʟʏɢᴏɴ ʜᴀs 360 ᴅᴇɢ/60 ᴅᴇɢ = 6 sɪᴅᴇs.

hope it understood it ;)