Question

look at the diagram. which equation can be used to solve for x? 5x + 25 = 145 30x = 145 27x = 145 2x + 25 = 145 solve for x. x =

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. The angle of $(3x)^{\circ}$ and $(2x + 25)^{\circ}$ together form an angle equal to the $145^{\circ}$ angle. So, $3x+(2x + 25)=145$.

Step2: Simplify the left - hand side of the equation

Combine like terms: $3x+2x+25 = 145$, which simplifies to $5x+25 = 145$.

Step3: Solve the equation for x

Subtract 25 from both sides: $5x+25 - 25=145 - 25$, getting $5x = 120$. Then divide both sides by 5: $x=\frac{120}{5}=24$.

Answer:

The equation is $5x + 25 = 145$, and $x = 24$