triangle DEF is an equilateral triangle.
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In an equilateral triangle, each angle of 60 degrees. Then the value of x is 20.8 units, then the correct option is B.
Trigonometry deals with the relationship between the sides and angles of a triangle.
The triangle ΔDEF is an equilateral triangle.
Then each angle is 60 degrees.
Then by the sine rule, we have
[tex]x = 24 \times \sin 60^o \\\\x = 24 \times 0.866\\\\x = 20.78\approx 20.8[/tex]
The value of x is 20.8 units.
More about the trigonometry link is given below.
https://brainly.com/question/22698523