Question

solve for x.
(5x - 32)°
(3x - 4)°
x =

Explanation:

Step1: Identify angle - relationship

Assume $\angle MQR$ and $\angle ORP$ are corresponding angles (if $MN\parallel OP$), so they are equal. Set up the equation $5x - 32=3x - 4$.

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: $2x-32 + 32=-4 + 32$, getting $2x = 28$.

Step4: Solve for x

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

Answer:

$14$