Answer: x=12
Step-by-step explanation:
The two angles provided are on a straight line
A straight line is 180 degrees, so we can add the two angles to make 180 and solve for x
[tex]10x-20+6x+8=180[/tex]
Simplify
[tex]10x-20+6x+8=180\\10x+6x-20+8=180\\16x-12=180[/tex]
Add 12 on both sides
[tex]16x-12=180\\16x-12+12=180+12\\16x=192[/tex]
Divide both sides by 16 to isolate x
[tex]16x=192\\\frac{16x}{16} =\frac{192}{16} \\x=12[/tex]
