Question

In the adjoining figure PQ parellel to ST determine QRS​

Answer 1

Answer:

Const. Increase line ST from S and name it A

Similarly with PQ from Q and name it B

Draw a line(CD) at point R which is ll to PQ

therefore ST ll PQ ll CD

Sol. angle ASR + angle RST = 180°

x + 130° = 180°

x = 180° - 130°

x = 50°

angle ASR = angle SRD ( alternate interior angle)

50° = angle SRD

PB ll CD

therefore, angle PQR = angle QRD ( alternate interior angle)

110° = angle QRD

Here, angle QRS + angle SRD = angle QRD

angle QRS = 110° - 50°

angle QRS = 70°