, PA ∥BC ∥ DT and AB ∥ DC. Find the measure of a and b.
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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
hope it's help u
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