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Question

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

Then angles x,yandz
in ascending order of their values is written as,

x<y<z

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



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Solution

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

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

Since, xo,yo,zo are the exterior angles, they will be 180oBAC;180oABC,180oACB respectively. -- (2)
Hence, from 1,2
=>180ozo>180oyo>180oxo
=>zo<yo<xo


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