document.write( "Question 1180465: Triangle DEF is an isosceles triangle. Find the value of x, then find the measure of angle D.
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document.write( "And the numbers are (4x+1) at D (5x-4) at F and I am missing E and I need to find the measurement for D \n" );
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Algebra.Com's Answer #810141 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Triangle DEF is an isosceles triangle. \n" ); document.write( " Find the value of x, then find the measure of angle D. \n" ); document.write( " And the numbers are (4x+1) at D (5x-4) at F \n" ); document.write( ": \n" ); document.write( "Assuming that D is the single angle and E * F are the equal angles of the isosceles triangle \n" ); document.write( ": \n" ); document.write( "D + E + F = 180 \n" ); document.write( "Substituting, find x \n" ); document.write( "(4x+1) + (5x-4) + (5x-4) = 180 \n" ); document.write( "Combine like terms \n" ); document.write( "4x + 5x + 5x + 1 - 4 - 4 = 180 \n" ); document.write( "14x - 7 = 180 \n" ); document.write( "14x = 180 + 7 \n" ); document.write( "14x = 187 \n" ); document.write( "x = 187/14 \n" ); document.write( "x = 13.357, seems like you should have an integer solution here, anyway \n" ); document.write( "find D \n" ); document.write( "4(13.357) + 1 = 54.428 degrees \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this by finding the other two angles \n" ); document.write( "5(13.357) - 4 = 62.785 \n" ); document.write( "total the angles \n" ); document.write( "54.428 + 62.785 + 62.785 = 179.998 ~ 180 \n" ); document.write( " |