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

let y be the angle equal to sum of other two angles z and x
then,
y =z+x
now in triangle
x+z+y =180
x+z+z+x=180
(coz. y =z+x)
now
2(z+x)=180so z+x =180/2=90
this means that the remaining y will also be 90