Answer: a) given b) given c) definition of supplementary angles d) definition of same-side interior angles e) interior angles theorem converse
Explanation:
a) & b) the measures of the angles are given
c) supplementary angles are two angles whose measures add to 180°. 140+40=180
d) same-side interior angles are two angles that are in between the parallel lines and on the same side of the transversal. <2 and <5 meet these conditions
e) if two same-side interior angles are supplementary, then the lines that the transversal runs through are parallel. This is called the interior angles theorem converse