Q. 1464.3( 3 Votes )

Triangles DEF and LMN are both isosceles with DE = DF and LM = LN, respectively. If DE = LM and EF = MN, then, are the two triangles congruent? Which condition do you use?

If E = 40°, what is the measure of N?

Answer :

Given: Triangles DEF and LMN are both isosceles


DE = DF and LM = LN, respectively.


If DE = LM and EF = MN


DE = DF and LM = LN


If DE = LM


Then putting value on both sides


We get


DF = LN


In Δ DEF and Δ LMN


DE = LM


DF = LN


EF = MN


Hence Δ DEF Δ LMN


Both triangles are congruent by SSS criterion


As both triangles are congruent


E = M


M = 40°


As LMN is isosceles triangle having base angles are equal


M = N


N = 40°


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