Question

3.1. 21. PA||BC ||DT and AB DC Then Eind the values of aand 50- B C. Fig. 21 - -​

Answer 1

Answer:

Correct option is

B

50

o

,130

o

Option (b) is correct.

It has been given that PA parallel to the BC and AB is a transversal.

⇒∠ABC=∠PAB ...( alternate angles )

⇒a=50

o

Now, AB parallel to the DC and BC is a transversal.

⇒∠ABC+∠BCD=180

o

⇒50

o

+∠BCD=180

o

⇒∠BCD=130

o

Similarly, BC parallel to the DT and DC is a transversal.

⇒∠CDT=∠BCD ... ( alternate angles )

⇒b=130

o

Hence, a=50

o

and b=130