Respuesta :

Answer:

[tex]\Huge\boxed{x=12}[/tex]

Step-by-step explanation:

Hello There!

The following angles are complementary angles

Complementary angles have a sum of 90

So to solve for the variable (x) we use this equation

90 = 35 + 4x + 7

step 1 combine like terms

35+7=42

now we have

90 = 4x + 42

step 2 subtract 42 from each side

90 - 42 = 48

42 - 42 cancels out

now we have

48 = 4x

step 3 divide each side by 4

4x/4 = x

48 / 4 = 12

we're left with x=12