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:
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
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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:
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