Question

Given that PQ || RS and QR || ST. Find the value of a​

Answer 1

Answer:

85 + x =180

x = 180 --85

x = 95

therefore = a = 95 .

Answer 2

Step-by-step explanation:

In given figure, PQ parallel to RS and segment RQ is a transversal.

∴∠PQR−∠QRS=85

....(1) [ Alternate interior angles ]

Also, RQ parallel to TS and segment RS is a transversal.

∴∠QRS−∠TSR=85

....(2) [ Alternate interior angles ]

Now, RS is a straight line.

∴∠RST+a=180

[ Linear pair ]

⇒85+a=180

⇒a=180 -85

⇒a=95

Mark me as brainliest.