document.write( "Question 61683This question is from textbook
\n" ); document.write( ": THE SECOND ANGLE OF A TRIANGLE IS TWO TIMES AS LARGE AS THE FIRST.THE THIRD ANGLE IS 10DEGREES MORE THAN THE SECOND ANGLE. FIND THE MEASURE OF THE FIRST ANGLE. \n" ); document.write( "
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THE SECOND ANGLE OF A TRIANGLE IS TWO TIMES AS LARGE AS THE FIRST.THE THIRD ANGLE IS 10 DEGREES MORE THAN THE SECOND ANGLE. FIND THE MEASURE OF THE FIRST ANGLE.
\n" ); document.write( "Let the first angle be: x
\n" ); document.write( "Then the second angle is: 2x
\n" ); document.write( "Then the third angle is: 2x+10
\n" ); document.write( "Angles of triangles add to = 180
\n" ); document.write( ":
\n" ); document.write( "1st+2nd+3rd=180
\n" ); document.write( "(x)+(2x)+(2x+10)=180
\n" ); document.write( "5x+10=180
\n" ); document.write( "5x+10-10=180-10
\n" ); document.write( "5x=170
\n" ); document.write( "5x/5=170/5
\n" ); document.write( "x=34
\n" ); document.write( ":
\n" ); document.write( "The 1st angle is: x=34 degrees.
\n" ); document.write( ":
\n" ); document.write( "For fun find out the other angles too.
\n" ); document.write( "2nd angle: 2x=2(34)=68 degrees
\n" ); document.write( "3rd angle: 2x+10=2(34)+10=78 degrees.
\n" ); document.write( ":
\n" ); document.write( "Sanity Check, if you add all three angles do you get 180?
\n" ); document.write( "34+68+78=180 yes!!!
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\n" ); document.write( "Happy Calculating!!!
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