Question

In the figure, AB is parallel to CD, find x
AB = 48
CD=24​

Answer 1

Let us draw a line EF parallel to the lines AB and CD.

Then ∠BPF=∠ABP=48

o

 [ alternate angle].......(1).

Also, ∠CPF=∠PCD=24

o

 [ alternate angle]......(2).

Now

∠BPC=∠BPF+∠CPF=48 o +24 o =72 o

.Then x=360 o−72 o

=288 o