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look at the diagram. which equation can be used to solve for x? 8x = 60…

Question

look at the diagram. which equation can be used to solve for x? 8x = 60; 68x = 180; 8x + 60 = 90; 8x + 60 = 180. solve for x. x =

Explanation:

Step1: Identify angle - sum property

Since $\angle DGE$ and $\angle EGF$ form a straight - line, the sum of their measures is $180^{\circ}$. So, $8x + 60=180$.

Step2: Solve the equation for x

Subtract 60 from both sides of the equation: $8x=180 - 60$. So, $8x = 120$. Then divide both sides by 8: $x=\frac{120}{8}=15$.

Answer:

The equation to solve for x is $8x + 60 = 180$ and $x = 15$.