The value of angle KJL is determined as 54⁰.
The value of angle LNM is determined as 63⁰.
How to calculate the value of angle KJL?
The value of angle KJL is calculated by applying the following formula as shown below.
m∠KJL = m∠KLJ = x
Considering triangle KJL, the value of angle KJL is calculated as;
x + x + 72 = 180 (sum of angles in a triangle)
2x + 72 = 180
2x = 180 - 72
2x = 108
x = 108 / 2
x = 54
m∠KJL = 54⁰
The value of angle LNM is calculated as follows;
m∠LNM = m∠LMN = y
y + y + 54 = 180 (sum of angles in a triangle)
2y = 180 - 54
2y = 126
y = 126 / 2
y = 63⁰
m∠LNM = 63⁰