Answer:
see explanation
Step-by-step explanation:
Since lines a and b are parallel, then
∠NMP and ∠MPQ are same side interior angles and are supplementary, thus
a + a - 20 = 180
2a - 20 = 180 ( add 20 to both sides )
2a = 200 ( divide both sides by 2 )
a = 100, hence
∠NMP = a = 100° and
∠MPQ = a - 20 = 100 - 20 = 80°
