document.write( "Question 219641: two angles are supplementary. One angle has a measure of 5x+40 and the other has a measure of 2x. What is the measure of the smaller angle?
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Algebra.Com's Answer #165141 by jim_thompson5910(35256)\"\" \"About 
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\"two angles are supplementary.\" means that they form a straight line and they add to 180 degrees. Since \"One angle has a measure of 5x+40 and the other has a measure of 2x.\" and we know that these angles are supplementary, this means:\r
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\n" ); document.write( "\n" ); document.write( "\"%285x%2B40%29%2B%282x%29=180\"\r
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\n" ); document.write( "\n" ); document.write( "\"5x%2B40%2B2x=180\" Remove the parenthesis.\r
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\n" ); document.write( "\n" ); document.write( "\"7x%2B40=180\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"7x=180-40\" Subtract \"40\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"7x=140\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28140%29%2F%287%29\" Divide both sides by \"7\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=20\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "Now just plug this value back into the given angles: \r
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\n" ); document.write( "\n" ); document.write( "Angle 1: \"5x%2B40=5%2820%29%2B40=100%2B40=140\"\r
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\n" ); document.write( "\n" ); document.write( "Angle 2: \"2x=2%2820%29=40\" \r
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\n" ); document.write( "\n" ); document.write( "So the second angle is the smaller angle which is 40 degrees.
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