Circles, Angles, and Arcs: The Moving Vertex

What is the value of x? (Only the value)

Answer explanation

Remember that the measure of a full circle is 360.

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Vertex Outside

What is the value of x? (Value only)

Answer explanation

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Vertex Outside

What is the value of x? (value only)

Answer explanation

Set up your equation then solve for x

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Vertex Outside

What is the value of x? (Value only)

Answer explanation

Make sure to solve for the smaller arc to plug into the equation.

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Vertex Outside

What is the value of x? (Value only)

Answer explanation

Remember that the measure whole circle is 360. So if the smaller arc is 138, how much is left for the larger arc?

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Vertex Outside

What is the value of x? (Value only)

Answer explanation

Try to find the measure of the smaller arc before solving for x.

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Vertex Outside

What is the value of x? (Value only)

Answer explanation

The measure of the angle is half of the sum of the arcs that it intercepts.

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Vertex Inside

What is the value of y? (Value only)

Answer explanation

If the angle of a straight line is 180 degrees, and you have an angle that is 102 degrees, hw much would be left? This is the angle that would inscribe arc measures y and 95.

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Vertex Inside

What is the measure of arc XY? (value only)

Answer explanation

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Vertex On

What is the measure of angle 1? (Value only)

Answer explanation

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Vertex On