Find the angle of least positive measure that is coterminal

Find the angle of least positive measure that is coterminal with each angle. -51 degree -174 degree 792 degree Find the measure of each marked angle. Rotating Pulley A pulley is rotating 320 times per min. Through how many degrees does a point on the edge of the pulley move in 2/3 sec? The ropeller of a speedboat rotated 650 times per min. Through how many degrees does a point on the edge of the propeller rotate in 2.4 sec? Convert decimal degrees to degrees, minutes, seconds, and convert degrees, minutes. Seconds to decimal degrees. Round to the nearest second or the nearest thousandth of a degree, as appropriate, Use a calculator as necessary. 47 degree 25\'11 degree 119 degree 08\'03 degree -61,5034 degree 275,1005 degree

Solution

2)-51⁰

least positive angle =360-51 =309^o

3)-174⁰

least positive angle =360-174 =186^o

4)792⁰

least positive angle =792-360-360 =72^o

5)sum of angles in a triangle =180⁰

60⁰+y+90⁰=180⁰

y=180-90-60

y=30⁰

sum of angles in a triangle =180⁰

30⁰+ x+y +90⁰=180⁰

30⁰+ x+30⁰ +90⁰=180⁰

x=180-90-30-30

x=30⁰