Answer:
The value of [tex]x[/tex] is 15.222. We need to use the following equation: [tex]9\cdot x = 137^{\circ}[/tex]
Step-by-step explanation:
From Euclidean Geometry, we know that the sum of measures of internal angles in a triangle equals 180º. Then, we can find the value of [tex]x[/tex] by this formula:
[tex]43^{\circ}+3\cdot x + 6\cdot x = 180^{\circ}[/tex] (1)
[tex]9\cdot x = 137^{\circ}[/tex]
[tex]x = 15.222[/tex]
The value of [tex]x[/tex] is 15.222.