Respuesta :

Answer:

∠GEF = 25

Step-by-step explanation:

Here, we want to find the value of the marked angle

Please check the attachment for the diagrammatic representation of the triangle

Mathematically, the sum of opposite interior angles equals the exterior angle

We can have this sum as follows;

∠EFG + ∠GEF = ∠FGH

Thus;

2x + 1 + x + 19 = 6x + 2

3x + 20 = 6x + 2

6x-3x = 20-2

3x = 18

x = 18/3

x = 6

Now , substitute x into the ∠GEF

That will be;

6 + 19 = 25