Examine whether you can construct ∆DEF such that EF = 7.2 cm, m∠E = 110° and m∠F = 80°. Justify your answer.

From the question it is given that,

EF = 7.2 cm

∠E = 110^o

∠F = 80^o

Now we have to check whether it is possible to construct ΔDEF from the given values.

We know that the sum of the angles of a triangle is 180^o.

Then,

∠D + ∠E + ∠F = 180^o

∠D + 110^o+ 80^o= 180^o

∠D + 190^o = 180^o

∠D = 180^o– 190⁰

∠D = -10^o

We may observe that the sum of two angles is 190^o is greater than 180^o. So, it is not possible to construct a triangle.