Question

1. solve for x. (14x - 15)° 139°

Explanation:

Step1: Identify parallel lines property

Since $\overrightarrow{ST} \parallel \overrightarrow{VU}$, the given angle $(14x-15)^\circ$ is supplementary to $139^\circ$ (same-side exterior angles are supplementary).

Step2: Set up the equation

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

Step3: Simplify the left side

$$14x + 124 = 180$$

Step4: Isolate the term with x

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

Step5: Solve for x

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

Answer:

$x = 4$