Answer:

The relationship symbol that makes the statement true is ‘>’.

Step-by-step explanation:

Given,

In triangles ABC and EDF,

∠A = ∠D

Since, the sum of all interior angles of a triangle is supplementary,

⇒ ∠A + ∠B + ∠C = 180° and ∠D + ∠E + ∠F = 180°

⇒ ∠A = 180° – ∠B – ∠C and ∠D = 180° – ∠E – ∠F,

By substituting the values,

180° – ∠B – ∠C = 180° – ∠E – ∠F

– ∠B – ∠C = – ∠E – ∠F

∠B + ∠C =  ∠E + ∠F

∠B + 20° =  ∠E + 30°  ( given ∠C = 20° and ∠F = 30° )

∠B  =  ∠E + 10°  

∠B > ∠E

Hence, the relationship symbol that makes the statement true would be ‘>’.