Question

question 16 (1 point)
\\(m\angle ijk = 57^{circ}\\) and \\(m\angle il = 20^{circ}\\). find \\(m\angle ljk\\).
\\(m\angle ljk=-37^{circ}\\)
\\(m\angle ljk = 77^{circ}\\)
\\(m\angle ljk = 37^{circ}\\)
\\(m\angle ljk = 40^{circ}\\)

Explanation:

Step1: Identify angle - addition relationship

We know that $\angle LJK=\angle IJK-\angle IJL$.

Step2: Substitute given angle measures

Given $\angle IJK = 57^{\circ}$ and $\angle IJL=20^{\circ}$, then $m\angle LJK=57^{\circ}- 20^{\circ}$.

Step3: Calculate the result

$57 - 20=37$, so $m\angle LJK = 37^{\circ}$.

Answer:

C. $m\angle LJK = 37^{\circ}$