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Sagot :

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]