Question

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

Explanation:

Step1: Identify vertical angle pair

The angle opposite the \(145^\circ\) angle is equal to \(3x^\circ + (2x+25)^\circ\), since vertical angles are congruent.

Step2: Set up the equation

Combine like terms to form the equation:
$$3x + 2x + 25 = 145$$
Simplify the left side:
$$5x + 25 = 145$$

Step3: Isolate the variable term

Subtract 25 from both sides:
$$5x = 145 - 25$$
$$5x = 120$$

Step4: Solve for x

Divide both sides by 5:
$$x = \frac{120}{5}$$

Answer:

Equation to solve for \(x\): \(5x + 25 = 145\)
\(x = 24\)