83.3k views
5 votes
Given △ABC≅△JKL , m∠B=55° , and m∠L=25° , what is the measure of ∠J ? Enter your answer in the box.

User Sctajc
by
7.6k points

2 Answers

4 votes
<J = 100 is your answer!
User Bisma Azher
by
8.3k points
7 votes

Answer:

m∠J = 100° is the answer.

Explanation:

Given : ΔABC ≅ ΔJKL,

m∠B = 55°

m∠L = 25°

To find : ∠J

Since in both the triangles ABC and JKL

m∠A ≅ m∠J

m∠B ≅ m∠K = 55°

m∠C ≅ m∠L = 25°

Since measure of ∠K and ∠L are known then we can calculate the third angle j

m∠J + m∠K + m∠L = 180°

55° + 25° + m∠J = 180°

80° + m∠J = 180°

m∠J = 180 - 80

= 100°

Therefore, m∠J = 100° is the answer.

User Shankar Chavan
by
8.7k points

Related questions