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  • If one angle of a triangle is equal to the sum of the other two show that the triangle is right angled

If one angle of a triangle is equal to the sum of the other two show that the triangle is right angled

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Solution: Let ABC be any triangle

\angle A+angle C=angle B ...........(1)

Now, in triangle

angle A+angle B+angle C=180^circ\ \Rightarrow (angle A+angle C)+angle B=180^circ\ \Rightarrow angle B+angle B=180^circ\ \Rightarrow 2angle B=180^circ\ \Rightarrow angle B=90^circ

Posted by

Deependra Verma

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