Question

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Answer 1

In △ APB and △ CPD,

∠APB=∠CPD (Vertically opposite angles)

∠ABP=∠CDP (Alternate angles of parallel sides AB and CD)

∠BAP=∠DCP (Alternate angles of parallel sides AB and CD)

Hence, △APD∼△CPB (AAA rule)

Answer 2

Answer:

1) angle APB = angle BPC

2). angle DAC = angle BCA

3) angle CBD = angle ABD

Step-by-step explanation:

1) vertically opposite angles

2) and 3) alternate interior angles