Question

The degree measure of one of two complementary angles is 9 more than twice that of the other. What is one of the degree measures of the angles?A) 27 degreesB) 40 degreesC) 30 degreesD) 45 degrees

Answer 1

Given

The degree measure of one of two complementary angles is 9 more than twice that of the other.

To find:

What is one of the degree measures of the angles?

Step-by-step explanation:

It is given that,

The degree measure of one of two complementary angles is 9 more than twice that of the other.

Let x be the degree measure of one of the two complementary angles.

Then,

`\begin{gathered} x+(2x+9)=90\degree \\ 3x+9=90 \\ 3x=90-9 \\ 3x=81 \\ x=(81)/(3) \\ x=27\degree \end{gathered}`

Hence, one of the degree measures of the angles is 27 degrees.