You have given quadrilateral ABCD with angles m∠A=67°, m∠B=73°, m∠C=120° and m∠D=100°.
m∠A+m∠B=140°,
m∠A+m∠C=187°,
m∠A+m∠D=167°,
m∠B+m∠C=193°,
m∠B+m∠D=173°,
m∠C+m∠D=220°.
If two lines cut by a transversal have supplementary consecutive interior angles (that together form 180°), then the lines are parallel. From the sums above you see that there aren't two quadrilateral angles which form together 180°, so you can conclude that no sides of the quadrilateral are parallel.
