3 years ago

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

Mathematics

1 answer:

Levart [38]3 years ago

8 0

Answer:

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

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