Answer:
∠E= 126°
Explanation:
the parallel lines create a transversal (the diagonal line that connects them)
this transversal rule shows us that
∠DCE=∠CBA
so ∠DCE= 38°
let's look at the triangle
∠C+∠D+∠E=180°
38+16+∠E= 180°
CED=126
The total of all 3 angles should be 180
so:
180-38-16 (ABC is equal to ECD)
180-38-16=126
126=CED
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