Respuesta :

Answer:

x = 9

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

50° is an exterior angle of the triangle, thus

38 + 4x - 24 = 50 , that is

14 + 4x = 50 ( subtract 14 from both sides )

4x = 36 ( divide both sides by 4 )

x = 9

Answer:

[tex]\huge\boxed{\sf x = 9}[/tex]

Step-by-step explanation:

The measure of the exterior angle is equal to the sum of non-adjacent interior angles.

So,

50 = 38 + 4x - 24

50 = 4x + 14

Subtract 14 to both sides

50 - 14 = 4x

36 = 4x

Divide 4 to both sides

36 / 4 = x

x = 9

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807