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Shanghai science edition eighth grade mathematics first volume answer
Because ∠ A = 64, ∠ABC+ ∠ACB = 180-64 = 1 16

∠EBC = 180-∠ABC∠BCF = 180-∠BCF

So ∠ EBC+∠ BCF = 360-(∠ ABC+? ∠BCF)

And BP and CP are the bisectors of ∠EBC and ∠BCF.

So what? ∠PBC +? ∠PCB =( 1/2)(∠EBC +? ∠BCB)?

=( 1/2) * [ 360 - (∠ABC +? ∠BCF)

? = 180 - ( 1/2)(∠ABC +? ∠BCF)

? = 180 - ( 1/2) * 1 16 = 122

So what? ∠P = 180-(∠PBC-∠PCB)= 180- 122 = 58

Therefore, your answer is correct.