Question

Triangle ABC is congruent to triangle DFE. Find x.

Answer 1

Answer:

$x=33$    

Step-by-step 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.

Answer 2

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