Question

Encuentra la medida de dos angulos complementarios. A=7×+4 y B=4×+9

Answer 1

Complementary angles mean that they add up to 90.

Thus, we can write:

`\begin{gathered} A+B=90 \\ 7x+4+4x+9=90 \end{gathered}`

We can use algebra to find x:

`\begin{gathered} 7x+4+4x+9=90 \\ 11x+13=90 \\ 11x=90-13 \\ 11x=77 \\ x=(77)/(11) \\ x=7 \end{gathered}`

To find measure of the individual angles, A and B, we simple plug in 7 into x of the expressions of A and B.

Angle A:

7(7) + 4 = 53 degrees

Angle B:

4(7) + 9 = 37 degrees