Answer:
[tex]x=12[/tex]
Step-by-step explanation:
we know that
A linear pair is two angles that are adjacent and form a line. The angle measure of a line is 180 degrees
In this problem we have that
[tex](10x-20)^o+(6x+8)^o=180^o[/tex] --- by supplementary angles (form a linear pair)
solve for x
[tex](16x-12)=180[/tex]
[tex]16x=180+12[/tex]
[tex]16x=192[/tex]
[tex]x=12[/tex]
