Question

multiple choice 1 point
find the measures of two angles, one positive and one negative, that are coterminal with the given angle.
203°
473°; -67°
563°; -157°
563°; -247°
383°; -157°

Explanation:

Step1: Recall the formula for coterminal angles

Coterminal angles are given by \(\theta + n\times360^{\circ}\), where \(n\in\mathbb{Z}\).

Step2: Find the positive coterminal angle

For \(n = 1\), \(\theta=203^{\circ}\), then \(203^{\circ}+ 360^{\circ}=563^{\circ}\).

Step3: Find the negative coterminal angle

For \(n=-1\), \(\theta = 203^{\circ}\), then \(203^{\circ}-360^{\circ}=-157^{\circ}\).

Answer:

\(563^{\circ};-157^{\circ}\) (the second option)