Define Variables for the Measures of Angles $30 ^ { \circ }$

Multiple Choice

Define variables for the measures of angles. Write equations based on the given facts as well as the characteristics of complementary angles and supplementary angles. Solve the given resulting system of equations by elimination.
a) Two angles are complementary. The measure of one angle is $30 ^ { \circ }$ larger than that of the other.
b) Two angles are supplementary. The measure of one angle is $30 ^ { \circ }$ larger than that of the other.

A) a) $55,35$
b) $100,80$
B) a) $60,30$
b) $100,80$
C) a) $60,30$
b) $105,75$
D) a) $50,40$
b) $95,85$
E) a) $55,35$
b) $95,85$