## For every problem-solving activity it’s crucial that no less than five alternatives be considered. True False

October 15, 2019// Blog//

**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 ‘>’.**