A satellite views the Earth at an angle of 20°. What is the arc measure, x, that the satellite can see?

The satellite’s two lines of sight to the edges of the visible Earth are tangents to the Earth. For two tangents meeting outside a circle, the angle between them equals 180° minus the measure of the minor arc between the tangent points. Thus, x = 180° − 20° = 160°, so the visible arc measures 160°.

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