Answer:
1. (5x - 2) + (2x - 2) + x = [tex]180^{o}[/tex]
2. m<J = [tex]113^{o}[/tex]
3. m<K = [tex]44^{o}[/tex]
4. m<L = [tex]23^{o}[/tex]
Step-by-step explanation:
Generally, the sum of angles in a triangle = [tex]180^{o}[/tex].
So that;
m<J + m<K + m<L = [tex]180^{o}[/tex]
(5x - 2) + (2x - 2) + x = [tex]180^{o}[/tex]
5x + 2x + x -2 -2 = [tex]180^{o}[/tex]
8x - 4 = [tex]180^{o}[/tex]
8x = [tex]180^{o}[/tex] + 4
8x = 184
x = [tex]\frac{184}{8}[/tex]
x = [tex]23^{o}[/tex]
Thus,
m<J = (5x - 2)
= 5(23) - 2
= [tex]113^{o}[/tex]
m<K = (2x -2)
= 2(23) - 2
= [tex]44^{o}[/tex]
m<L = x
= [tex]23^{o}[/tex]
