Answer:
x=9
Step-by-step explanation:
If the triangles are congruent, then the angles B and E are also congruent (because they lie in the same place). Set an equation where B is equal to E:
∠[tex]B=[/tex]∠[tex]E[/tex]
Substitute values:
[tex]5x=45[/tex]
Solve for x. Divide both sides by 5:
[tex]\frac{5x}{5}=\frac{45}{5}\\\\ x=9[/tex]
So, when ΔABC≅ΔDEC, and ∠B=5x and ∠E=45°, the value of x is 9.
:Done
