document.write( "Question 599460: Please help me solve this problem: one angle of a linear pair is 10 more than two-thirds the other angle. Find both angles. \n" ); document.write( "
Algebra.Com's Answer #378961 by nerdybill(7384)\"\" \"About 
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Please help me solve this problem: one angle of a linear pair is 10 more than two-thirds the other angle. Find both angles.
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\n" ); document.write( "If two angles are a \"linear pair\", the sum must be 180 degrees.
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\n" ); document.write( "Let x = one angle
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\n" ); document.write( "180-x = second angle
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\n" ); document.write( "Our equation is derived from: \"one angle of a linear pair is 10 more than two-thirds the other angle\":
\n" ); document.write( "x = (2/3)(180-x) + 10
\n" ); document.write( "multiplying both sides by 3:
\n" ); document.write( "3x = (2)(180-x) + 30
\n" ); document.write( "3x = 360-2x + 30
\n" ); document.write( "5x = 360 + 30
\n" ); document.write( "5x = 390
\n" ); document.write( "x = 78 degrees
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\n" ); document.write( "second angle:
\n" ); document.write( "180-x = 180-78 = 102 degrees
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\n" ); document.write( "Answer: 78 and 102 degrees\r
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