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Circle angles, trig, polar coordinates

Author:
Adam
Topic:
Angles, Circle, Coordinates

Problem 1

Problem 2

In the picture above, if a, b, c are 60, 80, and 100 respectively, what is z?

Problem 3

Problem 4

Problem 5

What is x if the line is tangent to the circle?

Problem 6

If two sides of an angle are tangent to a circle, must the angle bisector contain the center of the circle?

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