Respuesta :
Answer:
3/1
Step-by-step explanation:
Using the similarity statement, ∠A corresponds with ∠D; ∠B corresponds with ∠E; and ∠C corresponds with ∠F.
The only angle of triangle DEF we have is ∠E, which is 7. This corresponds with ∠B; this makes the scale factor of ABC to DEF
21/7 = 3/1.
Answer: Corresponding angles will be 6 and 8 respectively.
Step-by-step explanation:
Since we have given that
ΔABC ~ Δ DEF
If ΔABC, has angles of 18, 21 and 24.
If ΔDEF, has angles of ?,7,?.
[tex]\frac{18}{x}=\frac{21}{7}\\\\\frac{18}{x}=3\\\\x=\frac{18}{3}=6[/tex]
similarly,
[tex]\frac{21}{7}=\frac{24}{y}\\\\3=\frac{24}{y}\\\\y=\frac{24}{3}\\\\y=8[/tex]
Hence, corresponding angles will be 6 and 8 respectively.
