Finding the Measures of Angles in a Linear Pair

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SUMMARY

The discussion focuses on solving for the measures of angles in a linear pair, specifically angles <1 and <2, where m<1 = 5x + 9 and m<2 = 3x + 11. The key equation derived from the property of linear pairs, which states that the sum of the angles equals 180 degrees, is 5x + 9 + 3x + 11 = 180. By solving this equation for x, users can substitute back to find the individual measures of the angles.

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  • Understanding of linear pairs of angles
  • Basic algebra skills for solving equations
  • Knowledge of angle measurement in degrees
  • Familiarity with substituting values in algebraic expressions
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  • Practice solving linear equations involving angle measures
  • Explore the properties of complementary and supplementary angles
  • Learn about angle relationships in geometry
  • Study the concept of angle pairs in different geometric configurations
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Students learning geometry, educators teaching angle relationships, and anyone looking to improve their algebraic problem-solving skills related to angles.

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<1 and <2 form a linear pair. If m<1 = 5x + 9 and m<2 = 3x + 11, find the measures of both angles.
 
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Hi bernardl and welcome to MHB! :D

I've re-titled your recent threads to give them a name that accurately reflects the problem at hand.

A linear pair of angles have measures that sum to 180 degrees, so we want to solve

5x + 9 + 3x + 11 = 180

for x, then substitute that value for x into the respective expressions to find the measure of the two angles.
 
Whoever gave you this problem clearly expected you to know what "linear pair of angles" meant! Did you? If so it is easy to set up an equation to solve.
 

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