in fig.3 if pq||rs and qr||ts then find the value of a
Answers
Answer:
In given figure, PQ parallel to RS and segment RQ is a transversal.
∴∠PQR−∠QRS=85
o
....(1) [ Alternate interior angles ]
Also, RQ parallel to TS and segment RS is a transversal.
∴∠QRS−∠TSR=85
o
....(2) [ Alternate interior angles ]
Now, RS is a straight line.
∴∠RST+a=180
o
[ Linear pair ]
⇒85
o
+a=180
o
⇒a=180
o
−85
o
Answer:
Option (a) is correct.
In given figure, PQ parallel to RS and segment RQ is a transversal.
∴∠PQR−∠QRS=85
o
....(1) [ Alternate interior angles ]
Also, RQ parallel to TS and segment RS is a transversal.
∴∠QRS−∠TSR=85
o
....(2) [ Alternate interior angles ]
Now, RS is a straight line.
∴∠RST+a=180
o
[ Linear pair ]
⇒85
o
+a=180
o
⇒a=180
o
−85
o
⇒a=95
o
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