Question

In the diagram, ΔGEF and ΔHEF are congruent. What is the value of x?. . 60. . 41. . 28. . 30

Answer 1

If Δ GEF and Δ HEF are congruent than:
2 ( x + 2 ) = 60   / : ( -2 )  we will divide both sides of the equation by -2.
x + 2 = 30
x = 30 - 2
x = 28
Answer : C ) 28° 

Answer 2

I added a screenshot with the diagram

Answer:

x = 28

Explanation:

When two triangles are congruent, corresponding sides as well as corresponding angles are equal

We are given that:

ΔGEF and ΔHEF are congruent

This means that:

angle G = angle H

angle GEF = angle HEF

angle EFG = angle EFH

GE = HE

GF = HF

EF = EF

We are given that:

angle GFE =60° and angle HFE = 2(x+2)

Since the two angles are equal, we can get x as follows:

2(x+2) = 60

x + 2 = 30

x = 30 - 2

x = 28

Hope this helps :)