Question

Need help plz help plz

Answer 1

Answer:

$x = 11$

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:

$11x +2 = 58 + 5x + 10$

Collect Like Terms

$11x -5x = 58 + 10-2$

$11x -5x = 66$

$6x = 66$

Divide through by 6

$\frac{6x}{6} = \frac{66}{6}$

$x = \frac{66}{6}$

$x = 11$