Helpp degrees, minutes, and seconds

  3) 174°15'18"

  4) 34.859722...(repeating)°

  5) 434°, -286°

Step-by-step explanation:

There are 60 minutes in a degree, and 60 seconds in a minute.

3) To find minutes, multiply fractional degrees by 60:

  .255° = 0.255°×(60'/1°) = 15.3'

To find seconds, multiply fractional minutes by 60:

  0.3' = 0.3'×(60"/1') = 18"

Then the whole angle is ...

  174.255° = 174° 15' 18"

__

4) The conversion works the other way, too.

  34° 51' 35" = 34° +51(1/60)° +35(1/3600)° = (34 619/720)°

  = 34.8597222...° (a repeating decimal)

__

5) Add or subtract multiples of 360° to get co-terminal angles.

  74° +360° = 434°

  74° -360° = -286°