Question

Find the value of x in each triangle.

Answer 1

x = 36

Explanation:

1. It's important to know that the sum (in degrees) of all angles in a triangle is 180°.

• This means that 2x + 2x + x = 180.

2. (Solving)

Step 1: Simplify both sides of the equation.

• 
  `(2x+2x+x)=180`
• 
  `5x = 180`

Step 2: Divide both sides by 5.

• 
  `(5x)/(5)=(180)/(5)`
• 
  `x = 36`

Step 3: Check if solution is correct.

• 
  `2(36)+2(36)+36=180`
• 
  `72+72+36=180`
• 
  `180=180`

Therefore, the answer is 36.