document.write( "Question 1187447: The angles of a triangle are (2x+20)⁰,(x+25)⁰ and(2x−25)⁰ Given that the sum of the angles of a triangle is 180⁰, calculate the size of each angle \n" ); document.write( "
Algebra.Com's Answer #818421 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "As your teacher mentions, the three angles of any triangle add to 180.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "angle1+angle2+angle3 = 180
\n" ); document.write( "(2x+20)+(x+25)+(2x-25) = 180
\n" ); document.write( "2x+20+x+25+2x-25 = 180
\n" ); document.write( "(2x+x+2x)+(20+25-25) = 180
\n" ); document.write( "5x+20 = 180
\n" ); document.write( "5x = 180-20
\n" ); document.write( "5x = 160
\n" ); document.write( "x = 160/5
\n" ); document.write( "x = 32\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "That x value then leads to...
\n" ); document.write( "angle1 = 2x+20 = 2*32+20 = 64+20 = 84 degrees
\n" ); document.write( "angle2 = x+25 = 32+25 = 57 degrees
\n" ); document.write( "angle3 = 2x-25 = 2*32-25 = 64-25 = 39 degrees\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Note how: 84+57+39 = 180 to help confirm the correct answers\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------------------------------------
\n" ); document.write( "Answers:
\n" ); document.write( "angle1 = 2x+20 = 84 degrees
\n" ); document.write( "angle2 = x+25 = 57 degrees
\n" ); document.write( "angle3 = 2x-25 = 39 degrees
\n" ); document.write( "x = 32\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Side note: This triangle is acute because all three angles are less than 90. The triangle is also scalene because the three angles are all different from each other.
\n" ); document.write( " \n" ); document.write( "
\n" );