Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
Given
The attached circle
Required
Find the measure of x
From the attached image:
[tex]11x + 2[/tex] and [tex]-2 + 7x[/tex] form a semi-circle
So:
[tex]11x + 2 -2 + 7x = 180[/tex]
Collect like terms
[tex]11x + 7x = 180+ 2 -2[/tex]
[tex]18x = 180[/tex]
Solve for x
[tex]x = \frac{180}{18}[/tex]
[tex]x = 10[/tex]
