Question

ASAP PLEASE ANSWER

Given △ABC≅△JKL, m∠B=55°, and m∠L=25°, what is the measure of ∠J? Enter your answer in the box. °

Answer 1

It shall be <J = 100!

Answer 2

Answer:
`\angle{J}=100^(\circ)`

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

`\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)`