Answer:
[tex]x = 14[/tex]
Step-by-step explanation:
Given
[tex]COP = 11x- 17[/tex]
[tex]TOD = 9x + 11[/tex]
Required
Determine x
Since COP and TOD are vertical angles, we have:
[tex]COP = TOD[/tex]
[tex]11x - 17 = 9x + 11[/tex]
Collect Like Terms
[tex]11x-9x = 11+17[/tex]
[tex]2x = 28[/tex]
[tex]x = 14[/tex]
