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The value of x is 21.
The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
From the figure,
54° and ∠STR are alternate exterior angles.
So,
54 = ∠STR
Now,
∠STR + 2x + 4x = 180
54 + 2x + 4x = 180
6x = 180 - 54
6x = 126
x = 21
Thus,
x = 21
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