Question

Solve for x then find the measure of the missing angle

Answer 1

The angles are co-interior angles, whose sum is equal to 180. So the equation for x is,

`4x-12+120=180`

Simplify the equation for x.

`\begin{gathered} 4x-12+120=180 \\ 4x=180-120+12 \\ x=(72)/(4) \\ =18 \end{gathered}`

The value of x is 18.

Determine the measure of unknown angle.

`\begin{gathered} 4x-12=4\cdot18-12 \\ =72-12 \\ =60 \end{gathered}`

The measure of unknown angle is 60 degree.