document.write( "Question 157991: Two angles are congruent and complementary, what are their measures? \n" ); document.write( "
Algebra.Com's Answer #116394 by jim_thompson5910(35256)\"\" \"About 
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Let x=angle 1, and y=angle 2\r
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\n" ); document.write( "\n" ); document.write( "Since the \"angles are congruent\", this means that \"y=x\". Also since the angles are complementary, this means that \"x%2By=90\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2By=90\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"x%2Bx=90\" Plug in \"y=x\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x=90\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"x=45\" Divide both sides by 2\r
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\n" ); document.write( "\n" ); document.write( "So the measure of the two angles is 45 degrees.
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