Question

Solve for x (all steps please!)
3x-6
x-2

Answer 1

x = 47

Explanation:

Now we have to,

→ Find the required value of x.

The angles given are,

→ x - 2

→ 3x - 6

We know that,

→ Sum of angles in a straight line is 180°.

Formula we use,

→ Total sum of angles = 180°

Forming the equation,

→ (x - 2) + (3x - 6) = 180

Then the value of x will be,

→ (x - 2) + (3x - 6) = 180

→ x - 2 + 3x - 6 = 180

→ (x + 3x) + (-2 - 6) = 180

→ (4x) + (-8) = 180

→ 4x - 8 = 180

→ 4x = 180 + 8

→ 4x = 188

→ x = 188 ÷ 4

→ [ x = 47 ]

Hence, the value of x is 47.

Answer 2

Given:-

• 
  `\tt \: 3x - 6`

`\:`

• 
  `\tt \: x - 2`

`\:`

Solution:-

By combining the expression nd setting them equal to 180°

• 
  `\tt \: 3x - 6 + x - 2 = 180`

`\:`

• 
  `\tt \: 3x + x - 6 - 2 = 180`

`\:`

• 
  `\tt \: 4x - 8 = 180`

`\:`

• 
  `\tt \: 4x = 180+ 8`

`\:`

• 
  `\tt \: 4x = 188`

`\:`

• 
  `\tt \: x = \cancel (188)/(4)`

`\:`

• 
  `\underline { \boxed{ \tt \color{hotpink}x = 47}}`

`\:`

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hope it helps! :)