Answer:
The value of [tex]x[/tex] is 10º.
Step-by-step explanation:
From Euclidean Geometry we remember that the sum of internal angles within a triangle equals to 180º. We present the resulting triangle after applying some geometric handling in the image attached below. Then, the triangle satisfies the following equation:
[tex]100^{\circ} + (80^{\circ}-5\cdot x)+(4\cdot x +10^{\circ}) = 180^{\circ}[/tex] (1)
[tex]190^{\circ} - x = 180^{\circ}[/tex]
[tex]x = 10^{\circ}[/tex]
The value of [tex]x[/tex] is 10º.
