Question

two line segments AC and BD intersect each other at the point P such that PA = 6 cm, PB = 3 cm, PC = 2.5 cm, PD = 5 cm, ∠APB = 50° and ∠ CDP = 30°. Then, ∠ PBA is equal to

Answer 1

Answer:

30°

Step-by-step explanation:

In ΔABP and ΔCDP,

AP/BP = 6/3 = 2/1

DP/CP = 5/2.5 = 2/1

∠APB = ∠CPD

Hence they are proportional and similar.

So, ∠CDP = ∠PBA

∴ ∠PBA = 30°

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