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18 multiple choice 1 point find the measure of the angle below. 220° 90…

Question

18 multiple choice 1 point find the measure of the angle below. 220° 90° 140°

Explanation:

Step1: Recall the right - angle property

A right - angle is \(90^{\circ}\). The angle between the \(x\) - axis and \(y\) - axis is \(90^{\circ}\).

Step2: Calculate the required angle

The given angle is composed of a right - angle (\(90^{\circ}\)) and an additional \(50^{\circ}\). But wait, no. Wait, actually, if we consider the angle from the positive \(x\) - axis in the counter - clockwise direction. The angle between the positive \(x\) - axis and positive \(y\) - axis is \(90^{\circ}\), and the given angle is \(90^{\circ}+ 50^{\circ}\) from the positive \(x\) - axis? No, wrong. Wait, the angle we want is \(180^{\circ}-40^{\circ}\)? No. Wait, the angle from the positive \(x\) - axis to the terminal side. The angle between the positive \(y\) - axis and the terminal side is \(50^{\circ}\). So the angle from the positive \(x\) - axis is \(90^{\circ}+50^{\circ}=140^{\circ}\)

Answer:

\(140^{\circ}\)