Answer: x = 6
Step-by-step explanation:
We know that the angles combined are complementary, meaning they add up to 90 degrees.
Therefore, we can make this equation:
(x + 54) + 5x = 90
Then, combine like terms.
x + 54 + 5x = 90
6x + 54 = 90
Now, subtract the 54 from that side.
6x = 90 - 54
6x = 36
Next, divide!
[tex]\frac{6x}{6}[/tex] = [tex]\frac{36}{6}[/tex]
x = 6
