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?
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,
[tex]\begin{gathered} x+(2x+9)=90\degree \\ 3x+9=90 \\ 3x=90-9 \\ 3x=81 \\ x=\frac{81}{3} \\ x=27\degree \end{gathered}[/tex]Hence, one of the degree measures of the angles is 27 degrees.
