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Answer:
X=66, Y=48
Step-by-step explanation:
In triangle HBD sum of all angles should be 180
So
56 + 58 + x = 180
114 + x = 180
x = 180 - 114
x = 66
In triangle CGD the given angles are 58 and y
The third angle is the angle CGD should be equal to angle HGI that is 74
So now in triangle CDG, three angles are y, 58 and 74
Now sum of all angles should be 180
y + 58 + 74 = 180
y + 132 = 180
y = 180 - 132
y = 48
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