Question

1. solve for x: 2x + 26° 5x + 14°

Explanation:

Step1: Set up equation

Vertical - angles are equal. So, $2x + 26=5x + 14$.

Step2: Rearrange terms

Subtract $2x$ from both sides: $26 = 5x-2x + 14$, which simplifies to $26=3x + 14$.

Step3: Isolate $x$ - term

Subtract 14 from both sides: $26 - 14=3x$, so $12 = 3x$.

Step4: Solve for $x$

Divide both sides by 3: $x=\frac{12}{3}=4$.

Answer:

$x = 4$