m < 1 = 130°
m < 1 = 130°m < 2 = 50°
We know this is a linear pair, therefore the two angles must add up to 180°
[tex](m < 1 )+ (m < 2 )= 180[/tex]
[tex]5x + x + 24 = 180[/tex]
Combine like terms
[tex]6x + 24 = 180[/tex]
Isolate the variable
[tex]6x = 156[/tex]
[tex]x = 26[/tex]
Plug in 26 for x in both of the individual angle equations.
[tex]m < 1 = 5x[/tex]
[tex] = 5(26)[/tex]
[tex] = 130[/tex]
[tex]m < 2 = x - 24[/tex]
[tex] = (26) + 24[/tex]
[tex] = 50[/tex]
A good way to check if we did this correctly, is to add up the two angles. Because 180 + 50 = 180, we did this correctly.
I hope this helped. Let me know if you have any questions!
