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Answer:
(1) 32° (2) 120°
Step-by-step explanation:
Angle sum property of Triangle: Sum of all angles of triangle is 180°
ΔXYZ,
∠X + ∠Y + ∠Z = 180°
60 + 56 + ∠XZY = 180°
∠XZY = 64°
Now it is given that ZO is the angular bisector of ∠XZY
Thus, ∠OZY = ∠XZY/2 = 32°
YO is bisector of ∠XYZ so ∠OYZ = 56/2 = 28°
ΔOYZ,
∠OZY + ∠OYZ + ∠YOZ = 180°
32 + 28 + ∠YOZ = 180°
∠YOZ = 120°
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