document.write( "Question 1016602: A pair of adjacent angles formed by intersecting lines. Angles 1 and 2 below are a linear pair. So are angles 2 and 4, angles 3 and 4, and angles 1 and 3. Linear pairs of angles are supplementary.\r
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document.write( "If M angle 4 = 4x - 20 and M angle 1 = 2x + 14
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document.write( "What is angle 4? \r
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document.write( "(I don't know how to put the figure here but I hope you can help me)
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document.write( "Thank you so much in advance. \n" );
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Algebra.Com's Answer #632999 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! The given information in the problem tells us that Angle 1 = Angle 4 \n" ); document.write( ": \n" ); document.write( "4x -20 = 2x +14 \n" ); document.write( ": \n" ); document.write( "2x = 34 \n" ); document.write( ": \n" ); document.write( "x = 17 \n" ); document.write( ": \n" ); document.write( "*********************************** \n" ); document.write( "Angle 4 = 4(17) - 20 = 48 degrees \n" ); document.write( "*********************************** \n" ); document.write( ": \n" ); document.write( "The algebra behind this is \n" ); document.write( ": \n" ); document.write( "Angle 4 = 4x -20 \n" ); document.write( "Angle 1 = 2x +14 \n" ); document.write( ": \n" ); document.write( "Angle 1 + Angle 3 = 180 \n" ); document.write( "Angle 4 + Angle 3 = 180 \n" ); document.write( ": \n" ); document.write( "subtract the two equations \n" ); document.write( "Angle 1 - Angle 4 = = \n" ); document.write( "2x + 14 -4x +20 = 0 \n" ); document.write( "-2x = -34 \n" ); document.write( "x = 17 \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |