document.write( "Question 148134: What are the angle sizes in a trapezoid whose sides have lengths of 6, 20, 6, and 26? THANKS SO MUCH!! \n" ); document.write( "
Algebra.Com's Answer #108565 by orca(409)\"\" \"About 
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Label the trapezoid as ABCD, with AB parallel to CD, AD = BC = 6.\r
\n" ); document.write( "\n" ); document.write( "Note that trapezoid is an isosceles trapezoid as AD = BC. So
\n" ); document.write( "< A = < B
\n" ); document.write( "< C = < D\r
\n" ); document.write( "\n" ); document.write( "From A draw line AE perpendicular to CD.
\n" ); document.write( "From B draw line BF perpendicular to CD.
\n" ); document.write( "EF = CD - AB = 6
\n" ); document.write( "DE = CF = 6/2 = 3\r
\n" ); document.write( "\n" ); document.write( "In right triangle AED, with < AED = 90 degrees, as the hypotenuse AD is twice the leg DE, so < DAE = 30 degrees.
\n" ); document.write( "< D = 90 - 30 = 60 degrees
\n" ); document.write( "< A = < DAE + 90 degrees = 30 degrees + 90 degrees = 120 degrees
\n" ); document.write( "< B = < A = 120 degrees
\n" ); document.write( "< C = < D = 60 degrees\r
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