Equation practice with angle addition

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

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


 * 1) Use the diagram to solve for the angle: This problem provides a diagram with an angle subdivided into two adjacent angles. The student is asked to use the diagram and labels to find the value of one of the smaller angles.Epwaa1.png

Strategies
Knowledge of the Angle Addition Postulate and solving linear equations would ensure being able to complete this exercise.
 * 1) The Angle Addition Postulate states that the sum of the measures of two adjacent angles is the measure of the overall angle.
 * 2) This problem always asks for one of the smaller angles, but it can ask for either the top one or the bottom one. It never asks for x.
 * 3) Since the problems are all similar, a computer program can be written in BASIC to solve this problem quickly.