In $Δ X Y Z, X Y = 6 c m, Y Z = 8 c m$ and $X Z = 9 c m .$ The greatest angle is _ and the smallest angle is __.

∠ X, ∠ Y

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∠ Z, ∠ Y

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∠ Y, ∠ X

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∠ Y, ∠ Z

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Solution

The correct option is D $∠ Y, ∠ Z$
In $Δ X Y Z$ , side $X Z$ is the greatest and side $X Y$ is the smallest.
Angle opposite to greater side is greater and smaller side is smaller.
Thus, $∠ X Y Z$ i.e. $∠ Y$ is the greatest and $∠ Y Z X$ i.e. $∠ Z$ is the smallest.

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