Question

The degree measure of one of two complementary angles is 30 less than twice that of the other. What are the degree measures of the angles? (Remember that complimentary angles add to be 90 degrees) 45 degrees and 45 degrees 30 degrees and 60 degrees 27 degrees and 63 degrees 40 degrees and 50 degrees

Answer 1

Let n = one of the angles
Let 2n -30 = the other

n+ 2n -30 =90⁰  (because they are complementary)
Combine like terms --     3n -30 = 90
Add 30 to both sides of the equation
3n=120°
 Divide both sides by 3 and n=40°    2n -30 = 80 -30 = 50°
So one angle is 40° and the other is 50° and those angles are complementary.