document.write( "Question 1191181: ∠A and \angle B∠B are complementary angles. If m\angle A=(x-21)^{\circ}∠A=(x−21)
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\n" ); document.write( " , then find the measure of \angle A∠A.\r
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Algebra.Com's Answer #822962 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "∠A and \angle B∠B are complementary angles. If m\angle A=(x-21)^{\circ}∠A=(x−21)
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\n" ); document.write( "and m\angle B=(2x-15)^{\circ}∠B=(2x−15)
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\n" ); document.write( ", then find the measure of \angle A∠A.
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document.write( "Your equation is\r\n" );
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document.write( "    m(A)   + m(B)    = 90 degrees    (complementary angles)\r\n" );
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document.write( "or\r\n" );
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document.write( "    (x-21) + (2x-15) = 90.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    x - 21 + 2x - 15 = 90\r\n" );
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document.write( "    x      + 2x      = 90 + 21 + 15\r\n" );
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document.write( "         3x          = 126\r\n" );
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document.write( "          x          = 126/3 = 42.\r\n" );
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document.write( "ANSWER.  m(A) = x-21 = 42-21 = 21  degrees;   m(B) = 2x-15 = 2*42 - 15 = 69 degrees.\r\n" );
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document.write( "CHECK.   m(A) + m(B) = 21 + 69 = 90  degrees.     ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "To learn about complementary angles, read the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Angles basics \r
\n" ); document.write( "\n" ); document.write( "    - Vertical angles \r
\n" ); document.write( "\n" ); document.write( "    - HOW TO solve problems on supplementary, complementary or vertical angles - Examples\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on supplementary and complementary angles
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\n" ); document.write( "\n" ); document.write( "Consider these lessons as your handbook, textbook, guide, tutorials and (free of charge) home teacher.\r
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