If one angle of a triangle is equal to the sum of the other two angles, then the triangle is:

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Obtuse angle triangle

Acute angle triangle

Right angle triangle

None of these

answer is C.

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Detailed Solution

It is given that the one angle of a triangle is equal to the sum of the other two angles.
Let the angles be

α, β, γ

.
From the given condition,

α + β = γ .

α + β + γ = 180^{\circ}

[By the angle sum property of a triangle]

\Rightarrow 2 γ = 180^{\circ}

\Rightarrow γ = 90^{\circ}

Thus, the triangle is a right angled triangle.
Therefore the correct option is 3.

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