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

$\huge\text{Hey there!}$

$\huge\textbf{Equation:}$

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

$\huge\textbf{Solve:}$

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

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

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

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

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

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

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

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

$\huge\textbf{Simplify it!}$

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

$\mathbf{9x = 153}$

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

$\mathbf{\dfrac{9x}{9}=\dfrac{153}{9}}$

$\huge\textbf{Simplify it!}$

$\mathbf{x = \dfrac{153}{9}}$

$\mathbf{x = 17}$

$\huge\textbf{Answer:}$

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

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~$\frak{Amphitrite1040:)}$