Question

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Answer 1

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

$\frac{AC}{DF}$ = $\frac{BC}{EF}$ , substitute values

$\frac{?}{21}$ = $\frac{8}{24}$ ( cross- multiply )

24 ? = 168 ( divide both sides by 24 )

? = 7