∠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.