Problem

Find the reference angle for a rotation of $249^{\circ}$.

Solution

Step 1 :The given angle is 249 degrees.

Step 2 :Since 249 degrees is in the third quadrant (between 180 and 270 degrees), we can find the reference angle by subtracting 180 from 249.

Step 3 :Using the formula for the reference angle in the third quadrant, \(angle - 180\), we substitute 249 for the angle.

Step 4 :\(reference\_angle = 249 - 180\)

Step 5 :\(reference\_angle = 69\)

Step 6 :Final Answer: The reference angle for a rotation of 249 degrees is \(\boxed{69^{\circ}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/8715/

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