document.write( "Question 1144388: If the supplement of an angle is ten less than three times the angle, find the angle? \n" ); document.write( "

Algebra.Com's Answer #765486 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "Let x be the angle measure in degrees (now unknown).\r\n" );
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document.write( "Then the supplement angle measure is (180-x) degrees.\r\n" );
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document.write( "The condition says\r\n" );
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document.write( "    180°-x = 3x - 10°.\r\n" );
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document.write( "It is your basic equation.\r\n" );
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document.write( "Simplify and solve it for x, step by step.\r\n" );
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document.write( "    180 + 10 = 3x + x\r\n" );
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document.write( "    190      = 4x\r\n" );
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document.write( "      x      =  = 47.5.\r\n" );
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document.write( "ANSWER.  The angle is 47.5°.\r\n" );
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document.write( "CHECK.   The supplement angle is  180° - 47.5° = 132.5°.\r\n" );
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document.write( "          Thrice the angle is  3x = 3*47.5 = 142.5.\r\n" );
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document.write( "          132.5° = 142.5° - 10°.    ! Correct !\r\n" );
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