Which of the folloiwng sets of angles can form a triangle? Options: A . &nbsp 90 ∘ , 30 ∘ , 90 ∘ B . &nbsp 70 ∘ , 70 ∘ , 70 ∘ C . &nbsp 30 ∘ , 20 ∘ , 110 ∘ D . &nbsp 80 ∘ , 40 ∘ , 60 ∘

Answer: Option D : D 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.

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

Question

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

Options:

A .

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

B .

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

C .

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

D .

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

Answer: Option D
:
D

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.