Question

An angle is 57.6 degrees more than the measure of its complementary angle what is the measure of each angle

Answer 1

`\begin{gathered} \text{Let} \\ x=\text{ first angle} \\ (x+57.6)=\text{ second angle (57.6 degrees more than the measure of its complementary)} \end{gathered}`

Since they are complementary, the sum of their angle measure is equal to 90°. We have the equation

`\begin{gathered} x+(x+57.6)=90\degree \\ x+x+57.6\degree=90\degree \\ 2x=90\degree-57.6\degree \\ 2x=32.4\degree \\ (2x)/(2)=(32.4\degree)/(2) \\ x=16.2\degree \end{gathered}`

With that we have the following

`\begin{gathered} x=16.2\degree\text{ (first angle)} \\ \\ x+57.6\degree \\ =16.2\degree+57.6\degree \\ =73.8\degree\text{ (second angle)} \end{gathered}`