A cyclic quadrilateral ABCD whose opposite sides when produced intersect at the [points P and Q]. The bisectors PF and QF of ∠P and ∠Q respectively at F produce QF to meet AB at E. Prove that ∠PFG=90∘.

A cyclic quadrilateral ABCD whose opposite sides when produced interse

1.	A cyclic quadrilateral ABCD whose opposite sides when produced intersect at the [points P and Q]. The bisectors PF and QF of ∠P and ∠Q respectively at F produce QF to meet AB at E. Prove that ∠PFG=90∘.
Answer» A cyclic quadrilateral ABCD whose opposite sides when produced intersect at the [points P and Q]. The bisectors PF and QF of $∠ P$ and $∠ Q$ respectively at F produce QF to meet AB at E. Prove that $∠ P F G = 90^{\circ}$ .

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A cyclic quadrilateral ABCD whose opposite sides when produced intersect at the [points P and Q]. The bisectors PF and QF of ∠P and ∠Q respectively at F produce QF to meet AB at E. Prove that ∠PFG=90∘.

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