document.write( "Question 600466: How do I find the measure of the angles in a triangle if the second angle is the same size as the first angle and the third angle is twice the size of the second angle? \n" ); document.write( "

Algebra.Com's Answer #379363 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
How do I find the measure of the angles in a triangle if the second angle is the same size as the first angle and the third angle is twice the size of the second angle?
\n" ); document.write( "first angle's measure + second angle's measure + third angle's measure = 180°
\n" ); document.write( "

\r\n" );
document.write( "Use \"x\" for the first angle's measure.\r\n" );
document.write( "Also use \"x\" for the second angle's measure, since it's the same size as the first angle.\r\n" );
document.write( "But use \"2x\" for the third angle's measure since it's twice the size of the second angle and twice x is 2x.\r\n" );
document.write( "\r\n" );
document.write( "Add them up and set = 180°\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "x + x + 2x = 180\r\n" );
document.write( "        4x = 180\r\n" );
document.write( "         x = 45\r\n" );
document.write( "\r\n" );
document.write( "So the first angle's measure is 45°\r\n" );
document.write( "The second angle's measure is also 45°\r\n" );
document.write( "The third angle's measure is 2x, or 2·45° which is 90°,\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );