document.write( "Question 1153316: An angle measures 28° more than the measure of its complementary angle. What is the measure of each angle?
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Algebra.Com's Answer #775517 by ikleyn(52871) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let the angle measure be x degrees.\r\n" );
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document.write( "Then the measure of its complementary angle is 90°-x.\r\n" );
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document.write( "We are given that\r\n" );
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document.write( "    x = (90-x) + 28.\r\n" );
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document.write( "Solve it for x\r\n" );
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document.write( "    x + x = 90 + 28\r\n" );
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document.write( "    2x    = 118\r\n" );
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document.write( "     x    = 118/2 = 59.\r\n" );
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document.write( "ANSWER.  The angle measure is 59°.  The complementary angle measure is 90°-59° = 31°.\r\n" );
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document.write( "CHECK.   59° - 31° = 28°.    ! Precisely correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "@josgarithmetic, yesterday you solved different problem under that link.\r
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