Answer:
x = 10
Step-by-step explanation:
1. Because this is a right angle (an angle with 90°), 54 + 3x + 6 = 90.
2. (Solving equation above)
Step 1: Simplify both sides of the equation.
- [tex](3x)+(54+6)=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]
Step 4: Check if solution is correct.
- [tex]54 + 3(10)+6=90[/tex]
- [tex]54+30+6=90[/tex]
- [tex]84+6=90[/tex]
- [tex]90=90[/tex]
Therefore, x = 10.
