Equation practice with vertical angles

The topic  appears under the 7th Grade Math Mission. This exercise practices setting up equations related to the Vertical Angle Theorem.

Types of Problems
There is one type of problem in this exercise:


 * 1) Use the diagram to solve for the variable: This problem provides a diagram with two labeled vertical angles. The student is asked to use the diagram and labels to find the value of the variable.Epwva1.png

Strategies
Knowledge of the Vertical Angle Theorem and solving linear equations would ensure being able to complete this exercise.
 * 1) The Vertical Angle Theorem states that the measures of two vertical angles are always equal to each other.
 * 2) This problem never asks for the measure of an angle, only the variable x.
 * 3) Since the problems are all similar, a computer program can be written in BASIC to solve this problem quickly.