Question

if AB=AC,BP=. PC, prove that angle ABP=angleACP​

Answer 1

Step-by-step explanation:

given = BP = PC

AB= AC

construction= join A and P

to prove = angle ABP = angle APC

proof = in triangle ABP and triangle ACP

= BP = PC ( given)

= AB = AC ( given)

= AP = AP ( common)

therefore , triangle ABP is congruent to triangle ACP by SSS criteria

= angle ABP = angle APC ( by CPCT)

= hence proved

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