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Homework Statement
Bisectors of angles A and C of triangle ABC intersect the circumcircle
of this triangle at points P and Q, respectively. The straight
line passing through the incentre (I) of ABC and parallel to AC intersects
the line PQ at point Z. Prove that a) the angle BZQ =QZI
b) the line ZB is tangent to the circumcircle
Homework Equations
Not many equations, maybe the chord theorems, and the congruence tests.
The Attempt at a Solution
Well for 'a' we just need to prove if BI is perpendicular to PQ
we know ZQA is equal to c/2
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