In Fig. 13.5, bisectors of ∠B and ∠D of quadrilateral ABCD meet CD and ABproduced at P and Q respectively. Prove that ∠P+∠Q=12(∠ABC+∠ADC)

In Fig. 13.5, bisectors of $∠$ B and $∠$ D of quadrilateral ABCD meet CD and AB
produced at P and Q respectively. Prove that
$∠ P + ∠ Q = \frac{1}{2} (∠ A B C + ∠ A D C)$

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