Answer:
see explanation
Step-by-step explanation:
We can show that Δ ABC and Δ DEF are similar by the SSS postulate
If the ratios of the 3 pairs of corresponding sides are equal , then the triangles are similar.
[tex]\frac{AB}{DE}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]\frac{AC}{DF}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]\frac{BC}{EF }[/tex] = [tex]\frac{5}{7.5}[/tex] = [tex]\frac{2}{3}[/tex]
Then by the SSS postulate the triangles are similar
Since the triangles are similar then corresponding angles are congruent, so
∠ D = ∠ A
