Question -
Answer -
One angle of atriangle is equal to the sum of the other two angles (given)
To Prove: One of theangles is 900
Let x, y and z arethree angles of a triangle, where
z = x + y …(1)
Sum of all angles of atriangle = 1800
x + y + z = 1800
z + z = 1800 (Usingequation (1))
2z = 1800
z = 900 (Proved)
Therefore, triangle isa right angled triangle.