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Find the measure of the reference angle for a 170∘170^\circ angle.

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Full solution

Q. Find the measure of the reference angle for a 170∘170^\circ angle.
  1. Identify Quadrant: 170°170° is more than 90°90° but less than 180°180°, so it's in the 22nd quadrant.
  2. Subtract from 180°180°: For angles in the 22nd quadrant, subtract the angle from 180°180° to get the reference angle.
  3. Calculate Reference Angle: So, the reference angle is 180°−170°180° - 170°.
  4. Calculate Reference Angle: So, the reference angle is 180°−170°180° - 170°.Calculating that gives us 180°−170°=10°180° - 170° = 10°.

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