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

Question

Gina Moore

Mathematics

19 May, 08:31

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

+5

Answers (2)

Know the Answer?

Jennifer Moran · Answer 1

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

Caitlin Bowers · Answer 2

Hello,

n + (2n - 30) = 90

n + 2n - 30 = 90

3n - 30 = 90

3n = 30 + 90 = 120

n = 120 / 3 = 40°

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 degrees30 degrees40 degrees45 degrees

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