How to Solve Supplementary Angle Word Problems?

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SUMMARY

The discussion focuses on solving a word problem involving supplementary angles, where one angle is defined as 2 degrees less than three times the other. The problem can be represented by the equations x + y = 180 and y = 3x - 2. By substituting the second equation into the first, the values of the angles can be determined definitively. The solution process emphasizes the importance of translating word problems into mathematical equations.

PREREQUISITES
  • Understanding of supplementary angles and their properties
  • Ability to formulate equations from word problems
  • Basic algebra skills for solving linear equations
  • Familiarity with variable representation in mathematical contexts
NEXT STEPS
  • Practice solving additional word problems involving supplementary and complementary angles
  • Learn how to set up systems of equations from real-world scenarios
  • Explore algebraic techniques for solving linear equations
  • Study the properties of angles and their relationships in geometry
USEFUL FOR

Students learning algebra, educators teaching geometry, and anyone looking to improve their problem-solving skills in mathematics.

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Homework Statement



"Two angles are supplementary. One angle is 2 degrees less than three times the other. What are the measure of the two angles?"


Homework Equations





The Attempt at a Solution



3x-2=180 ?

I'm not good with word problems.
 
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Let x and y be the size of the angles.
What does it mean that they are supplementary?
What does it mean that one angle is 2 degrees less than three times the other?
This will give you two equations for the two unknowns x and y.
 

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