Question

Triangle ABC is congruent to triangle DFE. Find x.

Answer 1

Since side BC must equal FE, x - 13 = 20. Therefore x = 33

Answer 2

`x=33`

Explanation:

We have been given given that triangle ABC is congruent to triangle DFE. We are asked to find the value of x.

Since triangle ABC is congruent to triangle DEF, so:

`\overline{AB}=\overline{DF}`

`\overline{CA}=\overline{ED}`

`\overline{BC}=\overline{FE}`

Upon substituting the value of BC and FE in equation, we will get:

`20=x-13`

Switch sides:

`x-13=20`

Add 13 on both sides:

`x-13+13=20+13`

`x=33`

Therefore, the value of x is 33 for our given triangles.