circle

quaxel

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A circle c touches a larger circle C from the inside at point P. The point Q is a point different from P on c. The tangent at c at point Q intersects C at points A and B. Prove that the straight line PQ halves the angle APB.
 
A circle c touches a larger circle C from the inside at point P. The point Q is a point different from P on c. The tangent at c at point Q intersects C at points A and B. Prove that the straight line PQ halves the angle APB.
I would start with drawing the circles and locate the points Q, P, A & B. Now I would think about circle-tangent theorems. Continue......

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