Question

Given that m<5 = 12x + 4 and m<7 = 10x + 16, what must value of x be in order for line f to be parallel to line g?

Answer 1

We have the following:

We have that angle 5 and angle 7 are equal, therefore we propose the following equality

$12x+4=10x+16$

solving for x

$\begin{gathered} 12x+4=10x+16 \\ 12x-10x=16-4 \\ 2x=12 \\ x=\frac{12}{2}=6 \end{gathered}$

Therefore, the value of x is 6