Question

Solve for x in the diagram below. 15 points :3

Answer 1

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!

$\frac{6x}{6}$ = $\frac{36}{6}$

x = 6