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in Triangles by (32.2k points)
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In ∆ABC and ∆DEF, it is given that AB/DE = BC/FD , then 

(a) ∠B = ∠E 

(b) ∠A = ∠D 

(c) ∠B = ∠D 

(d) ∠A = ∠F

1 Answer

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by (32.1k points)
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Best answer

(c)∠B = ∠D 

Disclaimer: In the question, the ratio should be AB/DE = BC/FD = AC/ EF . 

We can write it as: 

AB/ED = BC/DF = AC/FE 

Therefore, ∆ ABC − EDF 

Hence, the corresponding angles, 

i.e.,∠B and ∠D, will be equal. 

i.e. , ∠B = ∠D

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