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Find an angle in each quadrant with a common reference angle with 258°, from 0°≤θ<360°

Sagot :

132 degrees



Subtract 360 degrees from 258 to get =132 degrees

The reference angles are in the first, second, third, and fourth is 78°, 102°, 258°, and 282° respectively.

What is the reference angle?

the angle between the terminal side of the angle and the x-axis.

For the first quadrant:

The reference angle = 258 - 180 = 78°

For the second quadrant:

= 180 - 78 = 102°

For the third quadrant:

= 78 + 180

= 258°

For the fourth quadrant:

= 360- 78

= 282°

Thus, the reference angles are in the first, second, third, and fourth is 78°, 102°, 258°, and 282° respectively.

Learn more about the reference angle here:

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