Answer:
x = 10
Step-by-step explanation:
1. (3x + 8) and (52) are both complementary angles, which means that they add up to 90 degrees. Therefore, we can set up an equation of: [tex](3x+8) + 52 = 90[/tex]
2. (Solving)
Step 1: Simplify both sides of the equation.
- [tex](3x+8) + 52 = 90[/tex]
- [tex]3x + (8+52) = 90[/tex]
- [tex]3x + 60 = 90[/tex]
Step 2: Subtract 60 from both sides.
- [tex]3x + 60 - 60 = 90 - 60[/tex]
- [tex]3x = 30[/tex]
Step 3: Divide both sides by 3.
- [tex]\frac{3x}{3} = \frac{30}{3}[/tex]
- [tex]x = 10[/tex]
Therefore, x = 10.
