SOLUTION: The measure of the angke formed by two tangents to a circle is 80 degrees. Find the measure of the intercepted arc. Show your solution

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Question 1191608: The measure of the angke formed by two tangents to a circle is 80 degrees. Find the measure of the intercepted arc. Show your solution
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52878)   (Show Source): You can put this solution on YOUR website!
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Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

The measure of the angke formed by two tangents to a circle is 80 degrees. Find the measure of the intercepted arc. Show your solution 
Let the intercepted/smaller arc be A
Then larger arc = 360  -  A
As the measure of the angle formed by 2 tangents to a circle is  the difference between the 2 arcs, we get: 
                             360 - 2A = 160 ----- Cross-multiplying
                                 - 2A = 160 - 360
                                 - 2A = - 200
Intercepted/smaller arc, or  = 100o
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