Question

If one of the angles of a triangle is equal to the sum of the other two angles then shows that the triangle is right angle triangle

Answer 1

angle A=angleB+angleC
angleA+angleB+angleC=180°
angleB+angleC+angleB+angleC=180
2(angleB+angleC)=180
angleB+angleC=90
angleA=90
Therefore it is a right angle triangle

Answer 2

Answer:

I hope this resolves your query.

Step-by-step explanation:

Let one angle of a triangle be x

let other angles be y and z

and x = y+z (given in question)

Now, using angle sum property

x+y+z = 180

=> 2x = 180 ...(x=y+z)

=> x = 180/2

and x = 90

So, it is clear that one angle of the triangle is 90°.

Hence, the triangle is right-angled triangle.

Proved