Question

If one angle of a triangle is greater than the sum of the other two , show the angles that the angle is abused angled

Answer 1

let x,y,z be the angle of a triangle
now, if x+y+z=180
if x=90,theny+z=90,x=y+z

then it is right angle triangle

if x>y+z
then x must be greater than90
otherwise either x is 90 or less than90
so it is a abtuse angle triangle

Answer 2

let x,y,z be the angle of a triangle

now, if x+y+z=180

if x=90,theny+z=90,x=y+z

then it is right angle triangle

if x>y+z

then x must be greater than90

otherwise either x is 90 or less than90

so it is a abtuse angle triangle