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1 vote
Which is the measure of the reference angle for 227 degrees ?

a.35 degrees
B.23 degrees
C.47 degrees
D43 degrees

User LLuz
by
4.4k points

1 Answer

4 votes

Answer:

C. 47°

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

User Bmscomp
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