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x=120
y=150
z=30
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Step-by-step explanation:
since the angles marked as 30 degrees, x and 30 degrees make a line, their sum is 180 degrees. thus,
180 = 30+30+x
x+60 = 180
x = 180 - 60
x = 120
z is opposite to an angle marked 30 degrees. since they are formed by 2 intersecting lines, they are equal. hence, z=30.
z and y also make a line. hence, 180 = z+y
y + 30 = 180
y = 180-30
y = 150
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