Question

In the adjoining figure, AB || QP and QR || BC.
If ZABC = 60°, then find ZPQR.​

Answer 1

Answer:

∠PQR = 120

Step-by-step explanation:

it is given that AB║PQ

Give that ∠ABC = 60

Since AB║PQ, then

∠ABC = ∠QPC ( corresponding angles )

Therefore, ∠QPC = 60

∠QPC + ∠PQR = 180 ( Co - Interior )

60 + ∠PQR = 180

Therefore ∠PQR = 180 - 60 = 120

Answer 2

Answer :-

AB.ll QP

/_ ABP = /_QPC.....Corresponding angle theorem

60°=/_QPC

Now,

QR ll BC i.e. QR ll PC

/_ RQP + /_QPC = 180°....Interior angle theorem

/_ RQP + 60° = 180°

/_RQP = 180 - 60

/_RQP = 120°

Hope it helps you

Thanks for the question bro