9282eric 9282eric
  • 06-06-2022
  • Mathematics
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AC is the diameter of the circle. Angle AWB is 120 degrees. How big is arc BC

AC is the diameter of the circle Angle AWB is 120 degrees How big is arc BC class=

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lpina68 lpina68
  • 06-06-2022

Answer:

60°

Step-by-step explanation:

Arc BC and Angle BWC are the same number of degrees.

When the vertex of an angle is at the center of a circle, its called a Central Angle. A central angle and the arc it "cuts off" have the same number of degrees.

Angle AWB and Angle BWC lay together on a straight line, so they add up to 180°.

180° - 120° is 60°

Angle BWC is 60° so Arc BC is 60°

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