Question

An angle measures 42.6° more than the measure of a complementary angle. What is the measure of each angle?

Answer 1

X= one angle
90-x= complementary angle ( complementary angles adds up to 90 degrees)
x=90-x+42.6
x=-x+132.6(combine like terms)
x+x=-x+132.6+x(add x on both sides)
x=66.3(divide each side by 2)
90-66.3=2
one angle is 42.6 complentary angle is 88 degrees