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put this solution on YOUR website! Find the least positive angle measurement that is coterminal with -40 degrees.
Let's draw an angle of -40°. Negative angles rotate clockwise from the
right side of the x-axis:
"Coterminal" means "ends up at the same place."
Let's indicate with a green arc the smallest positive angle that
starts at the right hand side of the x-axis and rotates
counter-clockwise and ends up at the same line that -40°
ends up at.
The angle we need will be measured by the green counter-clockwise
arc below:
The amount of rotation done by the -40° is 40°
So the amount of counter-clockwise rotation that will be needed
for the angle indicated by the green arc is 360°-40° or 320°.
Answer: 320°
Edwin
