Question

In the diagramgiven below., PQ||OL Is OL||ST? Give reasons.

Answer 1

∠QRL=∠PQR=110(ALTERNATE INETRIOR ANGLES)

THEREFORE,

          ∠SKL=∠PQR-∠QRS

                    =110-60=50

THEREFORE,

∠TSK+∠SRL=50+130=180

BUT THEY ARE CONSECUTIVE ANGLES

SO,OL PARALLEL ST(PROVED)