Question

5x - 4 7x - 8

Explanation:

Assuming the two - angle expressions represent adjacent angles that form a straight - line (linear pair), and the sum of angles in a linear pair is 180 degrees.

Step1: Set up the equation

Since the sum of the two angles $(5x - 4)$ and $(7x - 8)$ is 180 degrees, we have the equation $(5x - 4)+(7x - 8)=180$.

Step2: Combine like terms

Combining the $x$ terms and the constant terms on the left - hand side, we get $(5x+7x)+(- 4 - 8)=180$, which simplifies to $12x-12 = 180$.

Step3: Isolate the variable term

Add 12 to both sides of the equation: $12x-12 + 12=180 + 12$, resulting in $12x=192$.

Step4: Solve for x

Divide both sides of the equation by 12: $\frac{12x}{12}=\frac{192}{12}$, so $x = 16$.

Answer:

$x = 16$