In a circle with center O, the arc XY measures 105°. What is the degree measure of the angle XOY that corresponds to this arc?

Questions : In a circle with center O, the arc XY measures 105°. What is the degree measure of the angle XOY that corresponds to this arc?

Answer:   210

Explanation: The angle on circle by an arc XY is given as 105°.

We can use the property of the circle which states that the angle at the center will be twice the angle on the circle by the same arc.

So, the angle XOY will be twice of the angle on the circle.

So, angle XOY will be:

angle XOY = 2 × 105°

angle XOY = 210°

Thus, the angle is 210 degrees. 

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