Question

find the measure of the angle.
345°
165°
270°

Explanation:

Step1: Analyze the position of the angle

The angle is measured from the positive \(y -\)axis clock - wise. A full - circle is \(360^{\circ}\).

Step2: Calculate the angle measure

We know that the angle between the positive \(y -\)axis and positive \(x -\)axis is \(90^{\circ}\), and the given non - right - angle part is \(75^{\circ}\). The measure of the angle \(\theta=360^{\circ}-(90^{\circ} + 75^{\circ})\)

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Answer:

165°