Question

12 multiple choice 1 point find the measures of two angles, one positive and one negative, that are coterminal with the given angle. 88° 448°; -272° 448°; -92° 268°; -92° 178°; -2°

Explanation:

Step1: Recall the formula for coterminal angles

Coterminal angles are given by \(\theta + n\times360^{\circ}\), where \(n\) is an integer.

Step2: Find the positive coterminal angle

Let \(n = 1\), then \(\theta+360^{\circ}=88^{\circ}+ 360^{\circ}=448^{\circ}\)

Step3: Find the negative coterminal angle

Let \(n=-1\), then \(\theta - 360^{\circ}=88^{\circ}-360^{\circ}=-272^{\circ}\)

Answer:

\(448^{\circ}; - 272^{\circ}\) (the first option)