Which is the measure of the reference angle for 227 degrees ? a.35 degrees
B.23 degrees
C.47 degrees
D43 degrees

  C.  47°

Step-by-step explanation:

The angle between the terminal ray of 227° and the nearest x-axis (the negative x-axis) is ...

  227° -180° = 47°

The reference angle is 47°.

In mathematical terms the reference angle is the minimum of the angle modulo 180° and the supplement of that angle.

  227° modulo 180° = 47°

  180° -47° = 133° . . . . supplement of 47°

  min(47°, 133°) = 47° . . . the reference angle

the answer is $42.96

step-by-step explanation:

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