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Equation practice with angle addition
Angle addition postulate 256
Description
Exercise Name: Equation practice with angle addition
Math Missions: 8th grade (U.S.) Math Mission, High school geometry Math Mission
Types of Problems: 1

The Equation practice with angle addition 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 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 user is asked to use the diagram and labels to find the value of one of the smaller angles.
    Epwaa1

    Use the diagram to solve for the angle

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.

Real-life Applications

  1. Engineers and architects use angles for designs, roads, buildings and sporting facilities.
  2. Athletes use angles to enhance their performance.
  3. Carpenters use angles to make chairs, tables and sofas.
  4. Artists use their knowledge of angles to sketch portraits and paintings.

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