Q. 105.0( 1 Vote )

# In Fig. 10.134, if *AB* = *AC* and ∠*B* = ∠*C*. Prove that *BQ* = *CP*.

Answer :

Given,

∠B = ∠C

AB = AC

To Prove: BQ = CP

Proof: In ABQ and ACP

∠B = ∠C (Given)

AB = AC (Given)

∠A = ∠A (Common)

Hence, by A.S.A. Theorem

ABQ ACP

BQ = CP (By c.p.c.t)

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