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Complementary Angles. Two angles are complementary. The measure of one angle is $15^{\circ}$ more than one-half of the measure of the other. Find the measure of each angle.
$x=40$ $y=50$
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
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Okay, so we got complimentary angles. So complimentary means that corner should be thinking of this picture taken with X and A Y Adams and 90 degrees because they are complementary. The other piece that they give us is that the measure of one angle is 15 more than the 1/2 the measure of the others. Of the measure of one angle is 15 more than half the measure of the other. So good. Okay, my substitute this in for acts. So 15 plus 1/2 y plus, why makes 90 combined? You're like terms, so 15 plus must do decimal 1.5. Why equals 90? Get your aerial bite sauce. It's a track. 15 1.5. Why makes 75 and then divide both sides by 1.5. All right, so that tells me that why equals 50. I know that they add up to 90 so access to equal 40. You can verify for yourself that that works with the other measures
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