Question

find the measure of an angle between (0^{circ}) and (360^{circ}) coterminal with an angle of (-134^{circ}) in standard position.
(226^{circ})
(44^{circ})
(134^{circ})
(46^{circ})
2 multiple choice 1 point
find the measure of an angle between (0^{circ}) and (360^{circ}) coterminal with an angle of (-289^{circ}) in standard position.
(289^{circ})
(71^{circ})
(199^{circ})

Explanation:

Step1: Add \(360^{\circ}\) to \(-134^{\circ}\)

\(-134^{\circ}+360^{\circ}=226^{\circ}\)

Step2: Check if \(226^{\circ}\) is between \(0^{\circ}\) and \(360^{\circ}\)

Since \(0^{\circ}<226^{\circ}<360^{\circ}\), it is valid.

Step3: Add \(360^{\circ}\) to \(-289^{\circ}\)

\(-289^{\circ}+360^{\circ}=71^{\circ}\)

Step4: Check if \(71^{\circ}\) is between \(0^{\circ}\) and \(360^{\circ}\)

Since \(0^{\circ}<71^{\circ}<360^{\circ}\), it is valid.

Answer:

For the first question: \(226^{\circ}\)
For the second question: \(71^{\circ}\)