Angles ABC and DEF are complementary. If m<DEF is 71.8 degrees, what is m<ABC?

Answer 1

Since angles ABC and DEF are complementary, we know that the sum of their measures is 90 degrees.

m<DEF + m<ABC = 90 degrees
71.8 + m<ABC = 90
m<ABC = 90 - 71.8
m<ABC = 18.2

Therefore, the measure of angle ABC is 18.2 degrees.