Question

Can a reference angle have a negative​ measure? Justify your reasoning.
Reference angle of a triangle. Trigonometry question

Answer 1

ɪᴛ ɪs ᴀʟᴡᴀʏs ᴘᴏsɪᴛɪᴠᴇ

ɪᴛ ɪs ᴀʟᴡᴀʏs ᴘᴏsɪᴛɪᴠᴇ ʀᴇɢᴀʀᴅʟᴇss ᴏғ ᴡʜɪᴄʜ ǫᴜᴀᴅʀᴀɴᴛ ᴡᴇ ᴀʀᴇ ɪɴ, ᴛʜᴇ ʀᴇғᴇʀᴇɴᴄᴇ ᴀɴɢʟᴇ ɪs ᴀʟᴡᴀʏs ᴍᴀᴅᴇ ᴘᴏsɪᴛɪᴠᴇ. ᴅʀᴀɢ ᴛʜᴇ ᴘᴏɪɴᴛ ᴄʟᴏᴄᴋᴡɪsᴇ ᴛᴏ ᴍᴀᴋᴇ ɴᴇɢᴀᴛɪᴠᴇ ᴀɴɢʟᴇs, ᴀɴᴅ ɴᴏᴛᴇ ʜᴏᴡ ᴛʜᴇ ʀᴇғᴇʀᴇɴᴄᴇ ᴀɴɢʟᴇ ʀᴇᴍᴀɪɴs ᴘᴏsɪᴛɪᴠᴇ.

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Answer 2

it is always positive

it it is always positive regardless of which quadrant we are in, the reference angle of a triangle produce always positive.