Question

plz answer. fast
I will mark as brainliest​

Answer 1

Step-by-step explanation:

Given ;

ABCD is a parallelogram .

< A = 70° .

BP and CP bisects < B and < C respectively.

To Find : Value of < BPC .

Solution ;

As , it's a || gm .

So , < A = < C = 70 ( opposite angles are equal).

CP bisects < C ...So , < PCB = 1/2×70 = 35 °.

And , < C + < B = 180° ( interior angles are supplementary).

=> 70 + < B = 180

=> < B = 180 - 70 = 110 °

So , < PBC = 1/2 × 110 = 55 °.

Now , in ∆ PBC ;

35+55+< P = 180

=> 90 + < P = 180

=> < P = 180 - 90 = 90°.

Hence , < BPC = 90° ( ans )...

hope ! it's helpful..