Solve for x then find the measure of the missing angle

Question

asked Apr 2, 2023 1.3k views

1 Answer

Rnet · Answer 1 · 2023-04-06T16:54:22+0000

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

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.