Q In fig, bisectors of ∠B and ∠D of quadrilateral ABCD meets CD and AB produced at P - Maths - Quadrilaterals

Question

Q In fig, bisectors of ∠ B and ∠ D of quadrilateral
ABCD meets CD and AB produced at P and Q respectively Prove that
∠ P + ∠ Q = 1/2( ∠ ABC + ∠ ADC)

Ankita Agarwal · Accepted Answer

Dear Student, In ΔAQD , by angle sum property

In ΔCPB, by angle sum property,

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Q. In fig, bisectors of ∠ B and ∠ D of quadrilateral ABCD meets CD and AB produced at P and Q respectively. Prove that ∠ P + ∠ Q = 1/2( ∠ ABC + ∠ ADC).

Q. In fig, bisectors of $∠$ B and $∠$ D of quadrilateral ABCD meets CD and AB produced at P and Q respectively. Prove that $∠$ P + $∠$ Q = 1/2( $∠$ ABC + $∠$ ADC).