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

Given: In ∆DEF, m∠E = 110° and m∠F = 80°.
Using angle sum property of triangle
∠𝐷 + ∠𝐸 + ∠𝐹 = 180°
⟹ ∠𝐷 + 110° + 80° = 180°
⟹ ∠𝐷 + 190° = 180°
⟹ ∠𝐷 = 180° − 190° = −10°
Which is not possible.

Class 7 Maths Chapter 10 Exercise 10.4

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