SOLUTION: Given two triangles ABC and DEF, where AB≅AC, DE≅DF, and ∠A≅∠D. Show that ∠B≅∠E. Please reply ASAP.

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.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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.

RELATED QUESTIONS
Complete the proof. Given: ∠DCE≅∠CDE≅∠DEC;... (answered by jim_thompson5910)

http://homework.russianschool.com/resource?key=54104jiope7r9 Given:... (answered by solver91311)

https://homework.russianschool.com/resource?key=00qba Given: AB ≅ BC and AE = 10... (answered by ikleyn)

solve the following problem:... (answered by Theo)

(05.03 MC) In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅... (answered by solver91311)

GIVEN:∠RST≅∠WSU... (answered by MathLover1)

http://homework.russianschool.com/resource?key=54102jiop82qm Given:... (answered by ikleyn)

Given: ∠ABD≅∠DBC; B is the midpoint of AC Prove:... (answered by kingme18)

Please help me with: Referring to the figure, complete the proof. Given: segment... (answered by solver91311)

SOLUTION: Given two triangles ABC and DEF, where AB&#8773;AC, DE&#8773;DF, and &#8736;A&#8773;&#8736;D. Show that &#8736;B&#8773;&#8736;E. Please reply ASAP.

SOLUTION: Given two triangles ABC and DEF, where AB≅AC, DE≅DF, and ∠A≅∠D. Show that ∠B≅∠E. Please reply ASAP.