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Properties of tangent lines

1.
PA is a tangent to circle O. If the measure of angle APO is 25°, find the measure of angle AOP.


2.
From point P, a secant containing the center of circle O and a tangent to the circle are drawn. If the measure of angle APB is 35°, find the measure of angle ABP.



3.
PA is a tangent to circle O of radius 12  at A. If the distance between point P and the center of the circle is 20, find the length of the tangent segment PA.

 

Related theorems

 

Properties of tangent lines