document.write( "Question 923729: In the following triangle, the degree measures of the three interior angles and two of the exterior angles are represented with variables. Find the measure of each interior an angle.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "(let me describe the triangle: It is a regular triangle, the bottom right hand corner, the angle is labeled as z and has 2x-5. On the bottom left hand corner, the variable is x but no value. The top of the triangle is y with 2x+5)\r
\n" );
document.write( "\n" );
document.write( "any help would be really appreciated\r
\n" );
document.write( "\n" );
document.write( "thank you so much in advance \n" );
document.write( "
Algebra.Com's Answer #560362 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! we have the following equations \n" ); document.write( "y + 2x+5 = 180 \n" ); document.write( "z + 2x-5 = 180 \n" ); document.write( "therefore \n" ); document.write( "y = 175 -2x \n" ); document.write( "z = 185 -2x \n" ); document.write( "we know the sum of the interior angles of the regular triangle = 180 \n" ); document.write( "now we have \n" ); document.write( "175-2x + 185-2x +x = 180 \n" ); document.write( "-3x + 360 = 180 \n" ); document.write( "-3x = -180 \n" ); document.write( "x = 60 \n" ); document.write( "y = 55 \n" ); document.write( "z = 65\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |