document.write( "Question 540522: IN TRIANGLE ABC, THE MEASURE OF ANGLE B IS 32 DEGREES MORE THAN THREE TIMES THE MEASURE OF ANGLE A. THE MEASURE OF ANGLE C IS 58 DEGREE MORE THAN THE MEASURE OG ANGLE A. FIND THE MEASURE OF EACH ANGLE? WHAT IS THE MEASURE OF ANGLE A? \n" ); document.write( "

Algebra.Com's Answer #353767 by KMST(5328) $\"\"$ $\"About$

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Let the measure of angle A (in degrees) be x.
\n" ); document.write( "The measure of angle B is 32 degrees more than (add 32 to what follows) 3 times the measure of angle A. Three times the measure of angle A is 3x, so the measure of angle B (in degrees) is 3x+32.
\n" ); document.write( "The measure of angle C is 58 degrees more than (add 58 to what follows) the measure of angle A. So the measure of angle C (in degrees) is x+58.
\n" ); document.write( "You must know that the sum of the measures of the 3 angles in a triangle is 180 degrees. So,
\n" ); document.write( " $\"x%2B%283x%2B32%29%2B%28x%2B58%29=180\"$
\n" ); document.write( "We know that those parentheses are unnecessary because we can associate and shuffle the terms added without change (commutative and associative properties), so $\"x%2B3x%2B32%2Bx%2B58=180\"$ --> $\"5x%2B90=180\"$ --> $\"5x=180-90\"$ --> $\"5x=90\"$ --> $\"x=90%2F5\"$ --> $\"x=18\"$
\n" ); document.write( "The measure of angle A is 18 degrees.
\n" ); document.write( "The measure of angle B (in degrees) is $\"3x%2B32=3%2A18%2B32=54%2B32=86\"$
\n" ); document.write( "The measure of angle B is 86 degrees.
\n" ); document.write( "The measure of angle C (in degrees) is $\"x%2B58=18%2B58=76\"$
\n" ); document.write( "The measure of angle C is 76 degrees. \n" ); document.write( "

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