Question

use the diagram below to find x and y.

1. x =__ y =__

6y = 12y + 180
-12y -12y
use the diagram below to find x, y and z.

1. x =__ y = z =__

Explanation:

Step1: Solve for y in the first - part equation

Given \(6y = 12y+180\). Subtract \(12y\) from both sides:
\(6y - 12y=12y + 180-12y\)
\(- 6y=180\)
Then divide both sides by \(-6\): \(y=\frac{180}{-6}=- 30\)
Since there is no information about \(x\) in the given equation \(6y = 12y + 180\), we assume there is a relationship from the diagram (not shown completely here). But if we only consider the equation for \(y\), we have found \(y\).

For the second part (finding \(x\), \(y\) and \(z\)), since the diagram is not clear enough to establish relationships. Let's assume some common geometric relationships. If we assume parallel - line relationships (since there are lines in the diagram).

Let's assume we have some angle - equalities. But without clear angle - measure relationships given in the diagram, we can't solve for \(x\), \(y\) and \(z\) completely.

If we just focus on the first part for \(y\):

Answer:

\(y=-30\) (No value for \(x\) can be determined from the given equation alone)