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Equation practice with vertical angles
Description
Exercise Name: Equation practice with vertical angles
Math Missions: 8th grade (U.S.) Math Mission, High school geometry Math Mission
Types of Problems: 1

The Equation practice with vertical angles exercise appears under the 8th grade (U.S.) Math Mission and High school geometry 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. Users are asked to use the diagram and labels to find the value of the variable.

## 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.

## Real-life Applications

1. The ancient Egyptians from over 4000 years ago were very good at shapes and geometry. Every time the Nile burst its banks and the planes, they had to use geometry to measure their gardens and fields all over again.
2. Engineers and architects use angles for designs, roads, buildings and sporting facilities.
3. Athletes use angles to enhance their performance.
4. Carpenters use angles to make chairs, tables and sofas.
5. Artists use their knowledge of angles to sketch portraits and paintings.