Question

solving for angle measures
complete the statements about the relationship between the two labeled angles.
the two labeled angles are vertical angles.
that means that their measures are equal.
use the relationship you determined to write an equation to help you solve for x.

Explanation:

Step1: Identify the relationship

The two labeled angles are vertical angles, so their measures are equal. One angle is \( (7x)^\circ \) and the other is \( 140^\circ \).

Step2: Write the equation

Since their measures are equal, we can write the equation \( 7x = 140 \).

Step3: Solve for x

To solve for \( x \), divide both sides of the equation by 7: \( x=\frac{140}{7} = 20 \).

Answer:

The equation is \( 7x = 140 \) and \( x = 20 \). (If the question only asks for the equation, then the answer is \( 7x = 140 \); if it asks for the value of \( x \), then \( x = 20 \). Based on the problem's request to write an equation to solve for \( x \), the equation is \( 7x = 140 \))