document.write( "Question 599657: In a pair of supplementary angles, the measure of one angle is 2 more than double the other angle. What are the measures of each angle? \n" ); document.write( "
Algebra.Com's Answer #379046 by math-vortex(648)![]() ![]() You can put this solution on YOUR website! Hi, there-- \n" ); document.write( ". \n" ); document.write( "Two angles are supplementary when the sum of their measures is 180 degrees. \n" ); document.write( ". \n" ); document.write( "Let x be the measure of the first angle. \n" ); document.write( ". \n" ); document.write( "The measure of the second angle is \"2 more than double the other angle.\" We can write that relationship as 2x+2. \n" ); document.write( ". \n" ); document.write( "The sum of the angle measures is 180 degrees, so we can write the equation, \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Now we solve for x. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "The equation x = 59 1/3 means that the first angle measures 59 1/3 degrees. The second angle measures 2 more than double, so its measure is 2*(59 1/3)+ 2 = 120 2/3 degrees. \n" ); document.write( ". \n" ); document.write( "Be sure to check your answer. Is the sum of their measures 180 degrees? \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Check! \n" ); document.write( ". \n" ); document.write( "That's it. Feel free to email via gmail if you have questions about the solution. \n" ); document.write( ". \n" ); document.write( "Ms.Figgy \n" ); document.write( "math.in.the.vortex \n" ); document.write( " |