Find the value of x,y and z in the following figure
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1
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3x+X = 180 degree ( linear pair )
4x = 180
X = 180/4
X= 45 degree
y-15 = X ( vertically opposite angles )
y-15 = 45 degree
y=45+15
y=60 degree
y-15 + y+z = 180 degree (linear pair )
60-15 + 60 + z = 180
45 + 60 + z = 180
105 + z = 180
z = 180 - 105
z =75 degree
Hence , X=45 , y=60 z = 75
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