Question

find the measure of the reference angle for a -352° angle.

Explanation:

Step1: Find coterminal angle

To find a positive coterminal angle with \(-352^\circ\), we add \(360^\circ\) (since coterminal angles differ by multiples of \(360^\circ\)). So, \(-352^\circ + 360^\circ = 8^\circ\).

Step2: Determine reference angle

The reference angle of an angle in the first quadrant (where \(0^\circ<\theta < 90^\circ\)) is the angle itself. Since \(8^\circ\) is in the first quadrant, its reference angle is \(8^\circ\).

Answer:

\(8\)