Question

In the figure; AB is the largest side and BC is the smallest side of triangle ABC.

Then angles $x^{\circ },y^{\circ }and{z}^{\circ }$
in ascending order of their values is written as,

$x^{\circ }<y^{\circ }<z^{\circ }$

If the above statement is true then mention answer as 1, else mention 0 if false

Answer 1

Given, sides $AB>AC>BC$ -- (1)

This means, the angles opposite to the sides will also have the same relation.
$=>\angle ACB>\angle ABC>\angle BAC$ -- (2)

Since, $x^o,y^o,z^o$ are the exterior angles, they will be ${180}^o-\angle BAC;{180}^o-\angle ABC,{180}^o-\angle ACB$ respectively. -- (2)
Hence, from $1,2$
$=>{180}^o-z^o>{180}^o-y^o>{180}^o-x^o$
$=>z^o<y^o<x^o$