document.write( "Question 1033810: Given two triangles ABC and DEF, where AB≅AC, DE≅DF, and ∠A≅∠D. Show that ∠B≅∠E. \r
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Algebra.Com's Answer #648448 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "Given two triangles ABC and DEF, where AB≅AC, DE≅DF, and ∠A≅∠D. Show that ∠B≅∠E. \r
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document.write( "You are given two isosceles triangles ABC an DEF with congruent angles A and D between the lateral sides.\r\n" );
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document.write( "Let mA, mB, mC, mD, mE and mF  be the measures of the corresponding angles.\r\n" );
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document.write( "In an isosceles triangles the angles at the base are congruent:\r\n" );
document.write( "∠B = ∠C   and   ∠E = ∠F.\r\n" );
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document.write( "It implies that\r\n" );
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document.write( "mB = mC =   and  mE = mF = .\r\n" );
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document.write( "Since mA = mD, you have mB = mC = mE = mF, QED.\r\n" );
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