Find an angle in each quadrant with a common reference angle with 255°, from 0°≤θ<360°

Question

Find an angle in each quadrant with a common reference angle with 255°, from 0°≤θ<360°
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Solution 1

Sure, let's find the angles in each quadrant that have the same reference angle as 255°.

First, we need to find the reference angle. The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis. For an angle of 255°, the reference angle is 255° - 180° = 75°.

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