document.write( "Question 1166587: The measure of one angle is twice the measure of its complement, find the measure of the angles. Set up equation and solve \n" ); document.write( "

Algebra.Com's Answer #791097 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "Let x be the angle measure, in degrees;\r\n" );
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document.write( "then the measure of its complement is 90-x degrees.\r\n" );
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document.write( "According the condition,\r\n" );
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document.write( "    x = 2*(90-x).\r\n" );
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document.write( "Simplify and solve to find x\r\n" );
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document.write( "    x = 180 - 2x,\r\n" );
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document.write( "    x + 2x = 180\r\n" );
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document.write( "    3x     = 180\r\n" );
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document.write( "     x     = 180/3 = 60 degrees.\r\n" );
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document.write( "ANSWER.  The angle is 60 degrees.  The complementary angle is 90-60 = 30 degrees.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To learn about complementary/supplementary angles, read the lessons\r
\n" ); document.write( "\n" ); document.write( " - Angles basics \r
\n" ); document.write( "\n" ); document.write( " - HOW TO solve problems on supplementary, complementary or vertical angles - Examples\r
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