document.write( "Question 1060278: The measure of the second angle of a triangle is 44 more than that of the first angle, and the third angle is 28 less than twice the second angle. Find the measures of all three angles. \n" ); document.write( "

Algebra.Com's Answer #675251 by KMST(5328) $\"\"$ $\"About$

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$\"x\"$ = measure (in degrees) of the first angle
\n" ); document.write( " $\"y=x%2B44\"$ = measure (in degrees) of the second angle
\n" ); document.write( " $\"z=2y-28=2%28x%2B44%29-28\"$ = measure (in degrees) of the third angle
\n" ); document.write( "The sum of the three angles must be $\"180%5Eo\"$ , so
\n" ); document.write( " $\"x%2B%28x%2B44%29%2B%282%28x%2B44%29-28%29=180\"$ is our equation.
\n" ); document.write( "Simplifying:
\n" ); document.write( " $\"x%2B%28x%2B44%29%2B%282%28x%2B44%29-28%29=180\"$
\n" ); document.write( " $\"x%2Bx%2B44%2B%282x%2B88-28%29=180\"$
\n" ); document.write( " $\"2x%2B44%2B%282x%2B60%29=180\"$
\n" ); document.write( " $\"2x%2B44%2B2x%2B60=180\"$
\n" ); document.write( " $\"4x%2B104=180\"$
\n" ); document.write( "Solving:
\n" ); document.write( " $\"4x%2B104=180\"$
\n" ); document.write( " $\"4x=180-104\"$
\n" ); document.write( " $\"4x=76\"$
\n" ); document.write( " $\"x=76%2F4\"$
\n" ); document.write( " $\"x=19\"$ .
\n" ); document.write( " $\"y=19%2B44=63\"$
\n" ); document.write( " $\"z=2%2A63-28=126-28=98\"$
\n" ); document.write( "So the first angle measures $\"highlight%2819%5Eo%29\"$ ,
\n" ); document.write( "The second angle measures $\"highlight%2863%5Eo%29\"$ ,
\n" ); document.write( "and the third angle measures $\"highlight%2898%5Eo%29\"$ . \n" ); document.write( "

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