Question

solve for x. (5x - 32)° (3x - 4)° x =

Explanation:

Step1: Identify angle - relationship

Since $\angle NQR$ and $\angle ORL$ are corresponding angles and $MN\parallel OP$, we have $5x - 32=3x - 4$.

Step2: Isolate x - terms

Subtract $3x$ from both sides: $5x-3x - 32=3x-3x - 4$, which simplifies to $2x-32=-4$.

Step3: Isolate the constant - term

Add 32 to both sides: $2x-32 + 32=-4 + 32$, resulting in $2x=28$.

Step4: Solve for x

Divide both sides by 2: $\frac{2x}{2}=\frac{28}{2}$, so $x = 14$.

Answer:

$14$