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):
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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
