Answer:
[tex]x = 11[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find x
The theorem that applies to this question is the theorem of external angles. And it translates to:
[tex]11x +2 = 58 + 5x + 10[/tex]
Collect Like Terms
[tex]11x -5x = 58 + 10-2[/tex]
[tex]11x -5x = 66[/tex]
[tex]6x = 66[/tex]
Divide through by 6
[tex]\frac{6x}{6} = \frac{66}{6}[/tex]
[tex]x = \frac{66}{6}[/tex]
[tex]x = 11[/tex]
