Question

I need with this please! It due tonight.

Answer 1

x=17

Reasoning:

The three interior angles of a triangle will always have a sum of 180°. Thus, you could make an algebraic equality with this information.

`6x+x+4x+17+10-34=180`

`11x-7=180`

`11x=187`

`(11x)/(11) =(187)/(11)`

`x=17`

Answer 2

x = 17

Explanation:

1. First, we should know that all angles in any triangle add up to 180°.

• This means that x + 17 + 6x + 10 + 4x - 34 = 180

2. (Solving)

Step 1: Simplify both sides of the equation.

• 
  `(x+6x+4x)+(17+10-34)=180`
• 
  `11x -7 = 180`

Step 2: Add 7 to both sides.

• 
  `11x - 7 + 7 = 180 + 7`
• 
  `11x = 187`

Step 3: Divide both sides by 11.

• 
  `(11x)/(11) =(187)/(11)`
• 
  `x = 17`

Step 4: Check if solution is correct.

• 
  `(17)+17+6(17)+10+4(17)-34=180`
• 
  `17 + 17 + 102 + 10 + 68 - 34 = 180`
• 
  `214 - 34 = 180`
• 
  `180 = 180`

Therefore, x = 17.