In the diagram, gef and hef are congruent. what is the value of x

c. 28

Step-by-step explanation:

Congruence means that all the sides and angle of the triangles which are said to be congruent are equal.

In the given triangle, all three angles of GEF and HEF will be equal.

Using the property, we can see that in triangle GEF the angle is 60 degree and in HEF the corresponding congruent angle of it is 2(x+2)

So,

Putting them equal

2(x+2) = 60

Now, it is a simple equation to solve.

2x+4=60

2x+4-4 = 60-4

2x = 56

2x/2 = 56/2

x = 28 degrees

So, option C is the correct answer ..