Answer:
x = 52°
y = 128°
Step-by-step explanation:
This is an isosceles trapezoid as the legs are the same length (denoted by the double dashes).
For an isosceles trapezoid, the sets of angles adjoined by parallel lines are equal. Therefore, for this trapezoid, y = 128 and the two remaining angles are both x.
The interior angles of a trapezoid = 360°
Therefore, x + x + 128 + y = 360
Since we know y = 128:
2x + 128 + 128 = 360
⇒ 2x = 104
⇒ x = 104 ÷ 2 = 52
