Question

find the value of (x). ((4x - 1)^{circ}) ((3x - 8)^{circ})

Explanation:

Step1: Identify angle - relationship

The two angles $(4x - 1)^{\circ}$ and $(3x - 8)^{\circ}$ are supplementary (linear - pair of angles, sum to 180°).
So, $(4x - 1)+(3x - 8)=180$.

Step2: Simplify the left - hand side

Combine like terms: $4x+3x-1 - 8=180$, which gives $7x-9 = 180$.

Step3: Isolate the variable term

Add 9 to both sides of the equation: $7x-9 + 9=180 + 9$, resulting in $7x=189$.

Step4: Solve for x

Divide both sides by 7: $x=\frac{189}{7}=27$.

Answer:

$x = 27$