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Sagot :

Answer:

see explanation

Step-by-step explanation:

Since the triangles are similar

(a)

The corresponding angles are congruent , that is

∠ A = ∠ D , ∠ B = ∠ E , ∠ C = ∠ F

(b)

The ratios of corresponding sides are equal, that is

[tex]\frac{AC}{DF}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values

[tex]\frac{?}{21}[/tex] = [tex]\frac{8}{24}[/tex] ( cross- multiply )

24 ? = 168 ( divide both sides by 24 )

? = 7

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