For given diagram, sin(E) = 0.5
What is transversal?
"It is a line that passes through two lines in the same plane at two distinct points."
What are parallel lines?
"These are the lines in the plane that are at equal distance from each other and never meet."
For given question,
AB is parallel to DE.
We can observe that, the line segment AE is transversal.
So, ∠DEF and ∠FAB are alternate interior angles.
We know, when a transversal intersects two parallel lines, then each pair of alternate interior angles is equal.
⇒ ∠FAB = ∠DEF
⇒ ∠A = ∠E
⇒ sin(A) = sin(E)
As, sin(A) = 0.5
⇒ sin(E) = 0.5
Therefore, sin(E) = 0.5
Learn more about the alternate interior angles here:
https://brainly.com/question/22853173
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