document.write( "Question 65834: Hi, I had this problem for homework and I couldn't get it. THANKS FOR HELPING!!\r
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document.write( "Find X.\r
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Algebra.Com's Answer #46581 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! It would help to label the vertices of the outer triangle. \n" ); document.write( "Start on the left side and go clockwise to mark angles A,B,C. \n" ); document.write( "C is at the top. \n" ); document.write( "There are two isosceles triangles: one on the left, one on the right. \n" ); document.write( "The left has an apex angle of 58. \n" ); document.write( "Each base angle in the left isosceles triangle is (1/2)(180-58)=61 degrees. \n" ); document.write( "The point situated between C and A has two angles at it: one is a 61 degree \n" ); document.write( "base angle; the other is the supplement of 61 which is 180-61=119 degrees. \n" ); document.write( "Then each of the base angles of the RIGHT isosceles triangle is (1/2)(180-119) \n" ); document.write( "=30.5 degrees \n" ); document.write( "One of those base angles is x. \n" ); document.write( "So x=30.5 degrees \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |