Answer: [tex]\angle{J}=100^{\circ}[/tex]
Step-by-step explanation:
Given: △ABC≅△JKL,
m∠B=55°, and m∠L=25°
We know that if two triangles are congruent then their corresponding angles are equal.
∴ m∠A=m∠J
m∠B=m∠K=55°
m∠C=m∠L=25°
Now, by angle sum property in triangle JKL we have
[tex]\angle{J}+\angle{K}+\angle{L}=180^{\circ}\\\\\Rightarrow\angle{J}+55^{\circ}+25^{\circ}=180^{\circ}\\\\\Rightarrow\angle{J}=180^{\circ}-55^{\circ}-25^{\circ}\\\\\Rightarrow\angle{J}=100^{\circ}[/tex]
