The measure of the arc EF = 128°.
What is an Arc?
Arc is that part of the circumference of the circle which is formed by two points on the circle.
The angle subtended by an arc on the center of the circle is twice that it subtends on the circumference of the circle.
So,
The measure of arc EG = 2 * 46 = 92
The measure of arc GF = 140°
The complete circle has an angle of 360° at the center
The measure of the arc EF = 360 -mEG - mGF
The measure of the arc EF = 360 - 92 -140
The measure of the arc EF = 128°.
Therefore, The measure of the arc EF = 128°.
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