Question

Given: ∠A ≅∠D, ∠B ≅∠E This is 2 seperate triangles

ABC is one triangle and DEF is a different triangle

Answer 1

We are asked to determine the value of "x". Since we have that:

`\begin{gathered} ∠A≅∠D, \\ ∠B≅∠E \end{gathered}`

This means that triangles ABC and DEF are similar and therefore, corresponding sides are in the same proportion as each other. Therefore, we can use the following relationship:

`(AB)/(DE)=(BC)/(EF)`

Substituting the values we get:

`(3x)/(3)=(30)/(5)`

Simplifying the fractions:

`x=6`

Therefore, the value of "x" is 6.