Question

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

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. The angle with measure $(3x)^{\circ}$ and the angle with measure $(2x + 25)^{\circ}$ together form an angle that is vertical to the $145^{\circ}$ angle. So, $3x+(2x + 25)=145$. Simplifying the left - hand side gives $5x+25 = 145$.

Step2: Solve the equation for x

Subtract 25 from both sides of the equation $5x+25 = 145$. We get $5x=145 - 25$, so $5x = 120$. Then divide both sides by 5: $x=\frac{120}{5}=24$.

Answer:

Equation: $5x + 25 = 145$
$x = 24$