Question

Find the complement of 18° 53'29"​

Answer 1

Answer:

ɪꜰ ᴀ ᴅɪꜰꜰᴇʀᴇɴᴛ ᴀɴɢʟᴇ ᴍᴇᴀꜱᴜʀᴇꜱ 35 ᴅᴇɢʀᴇᴇꜱ ᴡʜᴀᴛ ɪꜱ ɪᴛꜱ ᴄᴏᴍᴩʟᴇᴍᴇɴᴛ? ᴄᴏᴍᴩʟᴇᴍᴇɴᴛᴀʀy ᴀɴɢʟᴇꜱ ᴀᴅᴅ ᴜᴩ ᴛᴏ 90 ᴅᴇɢʀᴇᴇꜱ, ɴᴏ ᴇxᴄᴇᴩᴛɪᴏɴꜱ. ꜱᴏ, ɪꜰ yᴏᴜʀᴀɴɢʟᴇ ᴍᴇᴀꜱᴜʀᴇꜱ 52 ᴅᴇɢʀᴇᴇꜱ, ᴛʜᴇᴄᴏᴍᴩʟᴇᴍᴇɴᴛᴀʀy ᴀɴɢʟᴇ ᴍᴇᴀꜱᴜʀᴇꜱ 90-52= 38ᴅᴇɢʀᴇᴇꜱ.

Answer 2

Answer:

Hi! The trouble here is converting the minutes and seconds of the angles. Complimentary angles total 90 degrees. There are 60 minutes in one degree, so you actually have 89 degrees and 60 minutes. There are 60 seconds in a minute, so now you have 89 degrees, 59 minutes, and 60 seconds. Now you can subtract:

89-27 = 62 degrees

59-35 = 24 minutes

60-15 = 45 seconds

So the compliment is 62024'45"

The same logic happens for the supplement except you have 179 degrees 59 minutes and 60 seconds.

179-27 = 152

59-35 = 24

60-15 = 45

So the supplement is 152024'45"