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Question

If x,y and z are exterior angles of â–³ABC, then find the value of x+y+z.
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A
x>z>y
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B
z<x<y
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C
z>y>x
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D
z<y<x
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Solution

The correct option is D z<y<x

Given, sides AB>AC>BC

This means, the angles opposite to the sides will also have the same relation.

=>ACB>ABC>BAC -- (1)

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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