Question

Find the value of x
​

Answer 1

Answer: x = 17

Step-by-Step Solution:

We know, (7x)° and (2x + 27)° form a Linear Pair (they sum up to 180°)

Therefore,
7x + 2x + 27 = 180
9x + 27 = 180
9x = 180 - 27
9x = 153
x = 153/9
=> x = 17

Therefore, x = 17

Answer 2

`\huge\text{Hey there!}`

`\huge\textbf{Equation:}`

`\mathbf{7x + 2x + 27 = 180^\circ}`

`\huge\textbf{Solve:}`

`\mathbf{7x + 2x + 27 = 180^\circ}`

`\huge\textbf{COMBINE the LIKE TERMS:}`

`\mathbf{(7x + 2x) + 27 = 180^\circ}`

`\mathbf{7x + 2x + 27 = 180^\circ}`

`\mathbf{9x + 27 = 180^\circ}`

`\huge\textbf{SUBTRACT 27 to BOTH SIDES:}`

`\mathbf{9x + 27 - 27 = 180^\circ - 27}`

`\mathbf{9x + 27 - 27 = 180 - 27}`

`\huge\textbf{Simplify it!}`

`\mathbf{9x = 180 - 27}`

`\mathbf{9x = 153}`

`\huge\textbf{DIVIDE 9 to BOTH SIDES:}`

`\mathbf{(9x)/(9)=(153)/(9)}`

`\huge\textbf{Simplify it!}`

`\mathbf{x = (153)/(9)}`

`\mathbf{x = 17}`

`\huge\textbf{Answer:}`

`\huge\boxed{\textsf{Option D. 17}}\huge\checkmark`

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