Question

look at the diagram.
which equation can be used to solve for x?
$5x + 38 = 72$ $5x = 110$ $5x + 72 = 180$ $5x + 110 = 180$
solve for x.
$x = $

Explanation:

Step1: Identify straight angle sum

Angles on a straight line sum to $180^\circ$. The angles $\angle QWU = 72^\circ$, $\angle UWT = 5x^\circ$, and $\angle TWR = 38^\circ$ form a straight angle, so their total is $180^\circ$.
$72 + 5x + 38 = 180$

Step2: Simplify the constant terms

Combine the constant values 72 and 38.
$5x + (72+38) = 180$
$5x + 110 = 180$

Step3: Isolate the variable term

Subtract 110 from both sides of the equation.
$5x = 180 - 110$
$5x = 70$

Step4: Solve for x

Divide both sides by 5 to find x.
$x = \frac{70}{5}$

Answer:

Correct equation:

$5x + 110 = 180$

Value of x:

$x = 14$