Question

what is the measure of the reference angle for a 112° angle?
a. 78°
b. 67°
c. 68°
d. 22°

Explanation:

Step1: Determine Quadrant

A \(112^\circ\) angle is in the second quadrant (between \(90^\circ\) and \(180^\circ\)).

Step2: Formula for Reference Angle

For an angle \(\theta\) in the second quadrant, the reference angle \(r = 180^\circ - \theta\).

Step3: Calculate Reference Angle

Substitute \(\theta = 112^\circ\) into the formula: \(r = 180^\circ - 112^\circ = 68^\circ\).

Answer:

C. \(68^\circ\)