Question 1192638

In triangle MNO and MPO

angle N = angle P (given)

Angle NOM = angle PMO   ( alternate angles )

MO is common to both triangles 
Therefore triangle POM  congruent to  triangle NMO

So angle POM  is congruent to angle NMO  .

But they are alternate angles between lines MN  and OP

SO MN ||OP

 *[illustration parallel.png]

Proved