Question

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

Answer 1

Yes you are right

Because in right angled triangle one angle must be of 90° and the other two angles are also must be of 30° and 60°.

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Answer 2

Let an angle in the triangle be 'x'

And the other angle be 'y'

Then the third angle will be 'x+y'(given)

We know that sum of three angles of a triangle is 180°

So,

x+y+(x+y)=180

2x+2y=180

2(x+y)=180

x+y=180/2

x+y=90°

As the third angle is 90°, the triangle is right angled.

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