Question

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Answer 1

Same side exterior angles are linear pair and have sum 180°

`\\ \rm\Rrightarrow x-11+2x+8=180`

`\\ \rm\Rrightarrow 3x-3=180`

`\\ \rm\Rrightarrow 3x=183`

`\\ \rm\Rrightarrow x=61`

Answer 2

We know that:

• 
  `x - 11 \space\ and \space\ 2x + 8 \space\ are \space\ a \space\ linear \space\ pair. \space\ (Refer \space\ to \space\ attachment.)`

This means that:

• 
  `(x - 11) + (2x + 8) = 180`

Step-by step calculations:

Open the parenthesis:

• 
  `(x - 11) + (2x + 8) = 180`
• =>
  `x - 11 + 2x + 8 = 180`

Combine like terms:

• =>
  `x - 11 + 2x + 8 = 180`
• =>
  `(x + 2x) + (-11 + 8) = 180`

Simplify the LHS:

• =>
  `3x - 3 = 180`

Add 3 both sides:

• =>
  `3x - 3 = 180`
• =>
  `3x - 3 + 3 = 180 + 3`
• =>
  `3x = 183`

Divide 3 both sides:

• =>
  `(3x)/(3) = (183)/(3)`
• =>
  `x = 61`