Question 1033810: Given two triangles ABC and DEF, where AB≅AC, DE≅DF, and ∠A≅∠D. Show that ∠B≅∠E.
Please reply ASAP.
Answer by ikleyn(52803)   (Show Source):
You can put this solution on YOUR website! .
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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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:
∠B = ∠C and ∠E = ∠F.
It implies that
mB = mC =  and mE = mF =  .
Since mA = mD, you have mB = mC = mE = mF, QED.
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