In a circle, if the angle subtended by an arc at the center is 80 degrees, what

In a circle, if the angle subtended by an arc at the center is 80 degrees, what is the angle subtended at any point on the circumference?

In a circle, if the angle subtended by an arc at the center is 80 degrees, what is the angle subtended at any point on the circumference?

Step 1: Understand that there is a circle with a center and a circumference.
Step 2: Identify that an angle can be formed at the center of the circle by an arc.
Step 3: Note that the angle at the center is given as 80 degrees.
Step 4: Learn the rule that the angle subtended at any point on the circumference by the same arc is half of the angle at the center.
Step 5: Apply the rule: Take the angle at the center (80 degrees) and divide it by 2.
Step 6: Calculate: 80 degrees divided by 2 equals 40 degrees.
Step 7: Conclude that the angle subtended at any point on the circumference is 40 degrees.

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