Question

1. solve for $x$.

$(14x - 15)^circ$
$139^circ$

Explanation:

Step1: Identify parallel line angle rule

Since $\overline{UV} \parallel \overline{ST}$, the consecutive interior angles are supplementary (sum to $180^\circ$).

Step2: Set up the equation

$$(14x - 15) + 139 = 180$$

Step3: Simplify the left side

$$14x + 124 = 180$$

Step4: Isolate the variable term

$$14x = 180 - 124$$
$$14x = 56$$

Step5: Solve for x

$$x = \frac{56}{14}$$

Answer:

$x = 4$