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Step-by-step explanation:
Angle X will be 30° (180+150) because Angle X and the 150 degree angle form a linear pair.
Y will be 70° {180-(30+80)} because the sum of the angles of a triangle is 180° and the sum of the other 2 angles is 110° (80+30) and 180 - 110 is 70 degrees
Z will be 70° as the lines that the line YZ touches are parallel to each other, thus YZ is a transversal. Now, since angle Y is the interior alternate angle of Z, Y will be equal to Z.
Thus, Y = Z = 70°
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