Question 1033810
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Given two triangles ABC and DEF, where AB≅AC, DE≅DF, and ∠A≅∠D. Show that ∠B≅∠E. 

Please reply ASAP.
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<pre>
You are given two isosceles triangles ABC an DEF with congruent angles A and D between the lateral sides.

Let mA, mB, mC, mD, mE and mF  be the measures of the corresponding angles.

In an isosceles triangles the angles at the base are congruent:
&#8736;B = &#8736;C   and   &#8736;E = &#8736;F.

It implies that

mB = mC = {{{(pi-mA)/2}}}  and  mE = mF = {{{(pi-mD)/2}}}.

Since mA = mD, you have mB = mC = mE = mF, QED.
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