Question

look at the diagram. which equation can be used to solve for x? 8x + 164 = 180 8x - 42 = 122 8x + 42 = 180 8x + 42 = 122 solve for x. x =

Explanation:

Step1: Identify angle - relationship

The angles measuring $42^{\circ}$ and $(8x)^{\circ}$ and the angle measuring $122^{\circ}$ are related such that the sum of the angles $42^{\circ}$ and $(8x)^{\circ}$ is equal to the angle measuring $122^{\circ}$ because they are vertical - angle related.
$8x + 42=122$

Step2: Solve the equation for x

Subtract 42 from both sides of the equation:
$8x=122 - 42$
$8x = 80$
Divide both sides by 8:
$x=\frac{80}{8}=10$

Answer:

The equation is $8x + 42 = 122$.
$x = 10$