Question

Three diagonals of quadilateral are 75°,90°,75° find the fourth angle

Answer 1

ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ , ᴛʜᴇ sᴜᴍ ᴏғ ᴀʟʟ ᴀɴɢʟᴇs ᴏs ǫᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ ɪs 360.

i.e., 75+90+75+x=360

240+x=360

x=360-240

x=120

ᴛʜᴇ ғᴏᴜʀᴛʜ ᴀɴɢʟᴇ ɪs 120