English, asked by nancy4554, 5 months ago

in figure 3 if PQ parallel to RS and q are parallel to TS then find the value of a​

Answers

Answered by zainabfaisalfaheem0
2

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

Explanation:

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