Question

Plz Answer These Questions Soon

Answer 1

1.)Here BP and CP are the bisectors of ∠B and ∠C respectively.
And LM∥BC
Now ; ∠LPB = ∠CBP   {alt. interior angle)
And ∠LBP = ∠CBP     {given}
So; ∠LBP = ∠LPB
And we know that if the angles are equal then their corresponding sides are also equal.
Therefore; LP = LB
Similarly; MP = MC
So we have;
LP + MP = LB + MC
⇒LM = LB+MC
Hence proved.