Question

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

Answer 1

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.