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In Fig. 6.40, /X=62^@, /X Y Z=54^@. If Y...

In Fig. 6.40, `/_X=62^@, ``/_X Y Z=54^@`. If YO and ZO are the bisectors of `/_X Y Z` and `/_X Z Y` respectively of `DeltaX Y Z,` find `/_O Z Y` and `/_Y O Z`.

Text Solution

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As the sum of all interior angles of a triangle is 180º, therefore, for ΔXYZ,
∠X + ∠XYZ + ∠XZY = 180º
62º + 54º + ∠XZY = 180º
∠XZY = 180º − 116º
...
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