If ABC ~ DEF, What is the scale factor of ABC to DEF? Triangle ABC has angles of 18, 21, 24. Triangle DEF has angles of ?,

Question

If ABC ~ DEF, What is the scale factor of ABC to DEF?

Triangle ABC has angles of 18, 21, 24.
Triangle DEF has angles of ?, 7, ?

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Answers ( No )

    0
    2021-11-26T10:01:46+00:00

    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,?.

    \frac{18}{x}=\frac{21}{7}\\\\\frac{18}{x}=3\\\\x=\frac{18}{3}=6

    similarly,

    \frac{21}{7}=\frac{24}{y}\\\\3=\frac{24}{y}\\\\y=\frac{24}{3}\\\\y=8

    Hence, corresponding angles will be 6 and 8 respectively.

    0
    2021-11-26T10:02:13+00:00

    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.

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