Question

8. In trapezium PQRS, PQ//RS. if
P= 150° then find /s​

Answer 1

In Trapezium PQRS

as

PQ//RS, and

extend PS to E and QR to F by Q and G by R

Now, /QPS=/PQF=150 (alternate interior angle)

also, PQF+PQR=180 (linear pair)

PQR=180-150

PQR=30

similarly, /QRS=/RSE and

SRQ=30

then, /SRG=RSP=30

hence, /S= 30