For what value of x is triangle ABC similar to triangle DEF?

Matt Coubrough asked Jul 5, 2023

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Matt Coubrough asked Jul 5, 2023

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19 votes

Answer:

A. 12

Step-by-step explanation:

If triangles ABC and DEF are similar:

$\begin{gathered} \angle A\cong\angle D \\ \implies42\degree=(4x-6)\degree \end{gathered}$

We solve for x:

$\begin{gathered} 4x=42+6 \\ 4x=48 \\ \text{Divide both sides by 4} \\ (4x)/(4)=(48)/(4) \\ x=12 \end{gathered}$

The value of x is 12.

Lynnell answered Jul 10, 2023

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