SOLUTION: Find the reference angle θ for the given angle θ θ = 245* θ = θ = 990* θ = θ = -145* θ = Please explain THANKS!

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Question 928522: Find the reference angle θ for the given angle θ
θ = 245*
θ =

θ = 990*
θ =

θ = -145*
θ =

Please explain
THANKS!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the reference angle θ for the given angle θ
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The reference is the positive (acute or right) angle between the given angle and the x-axis.
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θ = 245*
θ = 245-180 = 65 degrees
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θ = 990*
θ = 990-2*360 = 270 = 360-270 = 90 degrees
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θ = -145*
θ = -145 + 360 = 215 = 215-180 = 45 degrees
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Cheers,
Stan H.