Question

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

A.60
B.41
C.28
D.30

Answer 1

To figure it out do this:
60=2(x=2) and slove for x
soo, x=28

Answer 2

Answer: C.28

Explanation:

Given: Triangle GEF and triangle HEF are congruent triangles.

Since the corresponding angles of congruent triangles are congruent.

Therefore, ∠EFG≅∠EFH [CPCTC]

From the given diagram we have

`2(x+2)=60^(\circ)\\\\\Rightarrow\ x+2=30\\\\\Rightarrow\ x=30-2\\\\\Rightarrow\ x=28`

Hence, the value of x = 28.