Question

7 multiple choice 1 point find the measure of an angle between 0° and 360° coterminal with an angle of -26° in standard position. 334° 64° 154° 26°

Explanation:

Step1: Recall the formula for coterminal angles

Coterminal angles can be found by adding \(360^{\circ}n\) (\(n\in\mathbb{Z}\)) to a given angle \(\theta\). For a negative angle \(\theta=- 26^{\circ}\), we want to find \(n\) such that \(0^{\circ}\leq\theta + 360^{\circ}n<360^{\circ}\).

Step2: Calculate the coterminal angle

Let \(n = 1\). Then \(\theta+360^{\circ}n=-26^{\circ}+360^{\circ}\times1\).

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Answer:

334°