document.write( "Question 858350: Hello Tutors,\r
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document.write( "I am having trouble with this problem:\r
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document.write( "The angle bisector of angle-ACD in rhombus ABCD makes a 64 degree angle with the diagonal BD. Find the measure of angle-BAD.\r
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document.write( "Would you know how to draw this rhombus and how to label each corner? I don't know what the order of ABCD is in this rhombus that will actually make sense.\r
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document.write( "Thank you! \n" );
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Algebra.Com's Answer #517181 by Theo(13342)![]() ![]() You can put this solution on YOUR website! angle ACD and a diagonal of BD are inconsistent with each other. \n" ); document.write( "If BD is a diagonal, then AC has to be the other diagonal. \n" ); document.write( "If AC is the other diagonal, then angle ACD is impossible. \n" ); document.write( "you could have angle ADC or ABC or DAB or DCB, but you can't have angle ACD. \n" ); document.write( "If i assume the angle is ADC, then the problem makes more sense. \n" ); document.write( "in that case, the bisector of angle ADC should be the diagonal BD. \n" ); document.write( "this means angle ADC is 128 degrees which means that angle BAD is equal to 52 degrees. \n" ); document.write( "the properties of a rhombus are shown in the following reference: \n" ); document.write( "http://www.wyzant.com/resources/lessons/math/geometry/quadrilaterals/rectangles_rhombuses_squares \n" ); document.write( "one of those properties is that the diagonals of the rhombus bisect the opposite the angles they are connected to. \n" ); document.write( "a picture of your rhombus, will more then likely look like this: \n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |