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Step-by-step explanation:
We know that
adjacent angles forms 180°
So, in according to the figure we can say that
=> ∠A + ∠D = 180°
=> 80° + (y + 30)° = 180°
=> y = 70°
Now, from the value of y :
=> ∠D + ∠C = 180°
=> (y + 30)° + z = 180°
=> 70° + 30° + z = 180°
=> z = 80°
Again from the value of z and y :
=> ∠B + ∠C = 180°
=> (x + y - 30)° + z = 180°
=> (x + 70 - 30) + 80 = 180°
=> x + 40 + 80 = 180°
=> x = 60° ans.
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