The measurements of an angle is five times the measurement of its supplement. what is the measurement of the angle? a.30 degrees b. 35 degrees c.40 degrees d. 45 degrees

The sum of a supplementery angle is 180. 
Its supplement is 180. 180/5=36. I think B. is 36 not 35. therefore B is the right answer. 

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Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.