Examine whether you can construct - DEF such that EF - 7-2 cm- - E - 110- and - F - 80- Justify your answer-

Sum of given two angles = 110^∘ +80^∘ = 190^∘ Sum of all angles of a triangle = 180^∘. As the sum of two angles ∠ E, ∠ F of Δ DEF is greater than nbsp;180^∘, ...

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Standard IX

Mathematics

Construction of Triangle 3

Examine wheth...

Question

Examine whether you can construct $Δ$ DEF such that EF = 7.2 cm, $∠$ E = $110^{\circ}$ and $∠$ F = $80^{\circ}$ . Justify your answer:

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Solution

Sum of given two angles = $110^{\circ} + 80^{\circ} = 190^{\circ}$
Sum of all angles of a triangle = $180^{\circ}$ .

As the sum of two angles $∠$ E, $∠$ F of $Δ$ DEF is greater than $180^{\circ}$ , construction of triangle $Δ$ DEF is not possible.

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Examine whether you can construct Δ DEF such that EF = 7.2 cm, ∠ E = 110∘ and ∠ F = 80∘. Justify your answer:

Sum of given two angles = 110∘+80∘=190∘ Sum of all angles of a triangle = 180∘. As the sum of two angles ∠ E, ∠ F of Δ DEF is greater than 180∘, construction of triangle Δ DEF is not possible.

Examine whether you can construct $Δ$ DEF such that EF = 7.2 cm, $∠$ E = $110^{\circ}$ and $∠$ F = $80^{\circ}$ . Justify your answer:

Sum of given two angles = $110^{\circ} + 80^{\circ} = 190^{\circ}$
Sum of all angles of a triangle = $180^{\circ}$ .

As the sum of two angles $∠$ E, $∠$ F of $Δ$ DEF is greater than $180^{\circ}$ , construction of triangle $Δ$ DEF is not possible.