Question

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

Answer 1

Answer:

A. 12

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:

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

The value of x is 12.