Which of the folloiwng sets of angles can form a triangle?

$90^{\circ}, 30^{\circ}, 90^{\circ}$

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$70^{\circ}, 70^{\circ}, 70^{\circ}$

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$30^{\circ}, 20^{\circ}, 110^{\circ}$

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$80^{\circ}, 40^{\circ}, 60^{\circ}$

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Solution

The correct option is D
$80^{\circ}, 40^{\circ}, 60^{\circ}$

We know that " Sum of interior angles of a triangle = $180^{\circ}$
$80^{\circ} + 40^{\circ} + 60^{\circ} = 180^{\circ}$ .
The sum of angles in all the other sets is more than $180^{\circ}$
$∴ 80^{\circ}, 40^{\circ}, 60^{\circ}$ is the correct option.

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Q. The marks obtained by 40 students of a class are given below :

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50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

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The marks obtained by $40$ students of a class are given below :
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Q. In ΔABC, ∠A = 30°, ∠B = 40° and ∠C = 110°. The angles of the triangle formed by joining the mid-points of the sides of this triangle are

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Which of the folloiwng sets of angles can form a triangle?

The correct option is D 80∘,40∘,60∘ We know that " Sum of interior angles of a triangle = 180∘ 80∘+40∘+60∘=180∘. The sum of angles in all the other sets is more than 180∘ ∴80∘,40∘,60∘ is the correct option.