document.write( "Question 1199133: In triangle ABC, the measure of angle B is 22 more than three times the measure of angle A. The measure of angle C is 53 more than the measure of angle A. What is the measurements of all of the angles A, B, and C? \n" ); document.write( "

Algebra.Com's Answer #832836 by ikleyn(52847) $\"\"$ $\"About$

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document.write( "Let \"a\" be the measure of angle A.\r\n" );
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document.write( "Then the measure of angle B is  3a+22  degrees, according to the condition,\r\n" );
document.write( "and  the measure of angle C is   a+53  degrees.\r\n" );
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document.write( "The sum of the interior angles of a triangle is 180 degrees, which gives you this equation\r\n" );
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document.write( "    a + (3a+22) + (a+53) = 180.\r\n" );
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document.write( "Solve it and find \"a\", the measure of angle A.\r\n" );
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document.write( "Then find the measures of angles B and C.\r\n" );
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