A park maintenance person stands some distance from a circular monument. Assume that her lines of sight form tangents to the monument and make an angle of 53 degrees. What is the measure of the arc of the monument that her lines of sight intersect?(1 point) Responses 127° 127degree 133° 133degree 227° 227degree 233°
The angle formed by tangents to a circle intersecting at the exterior of the circle is equal to the central angle that arcs form from those tangents.
So, the measure of the arc of the monument that her lines of sight intersect is 2 times the angle formed by her lines of sight.
Angle formed by her lines of sight = 53 degrees
Measure of the arc = 2 * 53 = 106 degrees
Therefore, the measure of the arc of the monument that her lines of sight intersect is 106 degrees.