9514 1404 393
Answer:
m∠W = m∠S = 126°
m∠E = m∠T = 54°
x = 24
y = 8
Explanation:
Opposite angles of a parallelogram are congruent, so we have ...
∠E = ∠T
3x -18 = 2x +6
x = 24 . . . . . . . . . add 18-2x
Then the measure of these angles (in degrees) is ...
∠E = ∠T = 2x+6 = 2(24) +6 = 54
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The adjacent angle W is supplementary to either of these:
∠W = 180° -∠E
15y +6 = 180 -54
15y = 120
y = 8
∠W = ∠S = 126°