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

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

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Best answer

Given that

∠E = 110° and ∠F=80°

∵ ∠E + ∠F = 110°+ 80°= 190°

∵ Sum of only two angles is 190° which is greater than 180° (sum of all three angles)

∴ Construction of ∆DEF is not possible.

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