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Supplementary Angles. Two angles are supplementary. The measure of one angle is $20^{\circ}$ less than 19 times the measure of the other. Find the measure of each angle.
$y=10$ $x=170$
Algebra
Chapter 4
Systems of Linear Equations and Inequalities
Section 4
Problem Solving Using Systems of Equations
Equations and Inequalities
Systems of Equations and Inequalities
Campbell University
Harvey Mudd College
Idaho State University
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So it's a supplementary angles. So I've got an X and A y. The other piece of information we know there's one angle is 20 less than 19 times the measure of the other. I'm okay, so one angle is what is it? 20 less than 19 times the other. So 20 last than 19 times the other and their supplementary. So supplementary means 180 degrees when you add them up. Substitute because we have what X, uh is solved for already in terms of why so substitute 19 miles. Why minus 20 for acts plus another Y makes 180. Combine your life terms to get 20. Why minus 20 equals 1 80 and 20 to get 20. Why equals 200 divided by 20 and you have your answer. Why equals 10? Now the other answer acts. Will that add up to 100 80? So 10 plus 1 70 we'll work. You can verify for yourself that 19
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