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In a traingle,
angles opposite to equal sides are equal.
Given, PA = PB
angle opposite to PB = Angle A
angle opposite to PA = Angle D
So as stated,
Angle D = Angle A = 50°
Now,
In traingle ABP and DCP,
PA = PB (given)
AB = CD (given)
Angle A = Angle D(Proved)
Therefore by SAS congruency,
Traingle ABP is congruent to Triangle DCP
Since they are congruent,
Therefore PB = PC = 5cm
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