Question

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

30 degrees

40 degrees

45 degrees

Answer 1

Hello,

n + ( 2n - 30 ) = 90

n + 2n - 30 = 90

3n - 30 = 90

3n = 30 + 90 = 120

n = 120 / 3 = 40°

Answer 2

Let x = other angle of two complementary angles

One of two complementary angles is 30 less than twice other: 2x - 30

Sum of complimentary angles add to be 90 degrees

x + 2x - 30 = 90

3x = 120

x = 40

Answer

40 degrees