Question

Could I please get help with finding the length of this problem?

Answer 1

To answer this question we will use the following diagram as reference:

Given that angles B and D are perpendiculars, l and m are parallel, therefore angles C and D have to be equal given that they are alternate interior angles.

Therefore, by the AAA criteria, the given triangles are similar.

Now, since the triangles are similar, we know that:

`(2)/(5)=(x)/(7.5)\text{.}`

Multiplying the above equation by 7.5, we get:

`(2)/(5)*7.5=(x)/(7.5)*7.5.`

Finally, simplifying the above result, we get:

`3=x\text{.}`

Answer:

`x=3.`