Question

Look at the angles below. What is the value of x?

Answer 1

Two angles on a straight line are always supplementary angles, they add up to 180º.

Then, the given angles add up to 180º:

`4x+(2x-12)=180`

Use the equation above to solve x:

`\begin{gathered} 4x+2x-12=180 \\ 6x-12=180 \\ \\ \text{Add 12 in both sides of the equation:} \\ 6x-12+12=180+12 \\ 6x=192 \\ \\ \text{Divide both sides of the equation into 6:} \\ (6)/(6)x=(192)/(6) \\ \\ x=32 \end{gathered}`

Then, the value of x is 32