The measure of angle b and d are 60.7° and 43.1°.
Angles on parallel lines exhibit specific relationships. Corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary.
These properties are fundamental when analyzing geometric configurations involving parallel lines and a transversal.
Since angle m and n are parallel lines,
angle d = 180 - 136.9
d = 43.1
angle b = 60.7° ( alternate interior angles)
Therefore, the measure of angle b and d are 60.7° and 43.1°.