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Find the measure of an angle that is positive and less than 360° in standard position for each reference angle.

Find the measure of an angle that is positive and less than 360° in standard position-example-1

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9514 1404 393

Answer:

  • 112°
  • 285°
  • 202°

Explanation:

In quadrant II, the standard position angle is found by subtracting the reference angle from 180°.

180° -68° = 112°

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In quadrant IV, the standard position angle is found by subtracting the reference angle from 360°.

360° -75° = 285°

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In quadrant III, the standard position angle is found by adding 180° to the reference angle.

180° +22° = 202°

User Maxim Vakurin
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