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2. In a certain triangle the measure of one angle is double the measure of a second angle but is 5 degrees less than the measure of the third angle. If the sum of the measures of the three interior angles of a triangle is always 180 degrees, form an algebraic equation to express the problem, and identify the variables, coefficients, and constants of the algebraic expression.
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\n" ); document.write( "Let x = \"second angle\"
\n" ); document.write( "then
\n" ); document.write( "2x = \"one angle\"
\n" ); document.write( "and it says:
\n" ); document.write( "\"One angle.....is 5 degrees less than the measure of the third angle.\" we can say:
\n" ); document.write( "2x + 5 = \"third angle\"
\n" ); document.write( ":
\n" ); document.write( "1st angle + 2nd angle + 3rd angle = 180 degree
\n" ); document.write( "2x + x + (2x+5) = 180
\n" ); document.write( ":
\n" ); document.write( "5x + 5 = 180
\n" ); document.write( "5x = 180 - 5
\n" ); document.write( "5x = 175
\n" ); document.write( "x =
\n" ); document.write( "x = 35 degrees is the 2nd angle
\n" ); document.write( "then
\n" ); document.write( "70 degrees is the 1st angle
\n" ); document.write( "and
\n" ); document.write( "75 degrees is the 3rd angle
\n" ); document.write( ":
\n" ); document.write( "Using the equation: 5x = 175
\n" ); document.write( "The variable is x, the coefficient is 5, and 175 is the constant\r
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