Question

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Answer 1

Answer:

Answer :

Given ABCD is Parallelogram

⇒ ∠DAB + ∠CDA = 180° (sum of adjacent angles of a Parallelogram is 180°)

Dividing the above equation by 2 on both the sides

………………eq(1)

Since AP and DP are the bisectors of ∠DAB and ∠CDA respectively

⇒ ∠PAB = ∠PAD = 1/2 ∠BAD

And ∠PDC = ∠PDA = 1/2 ∠CDA

Putting these values in eq(1)

∠PAD + ∠PDA = 90°

In triangle PAD

∠PAD + ∠PDA + ∠APD = 180°. (Angle sum property of a triangle)

⇒90° + ∠APD = 180 °

⇒∠APD = 90°

Step-by-step explanation:

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