UnicornAss
UnicornAss UnicornAss
  • 22-08-2017
  • Mathematics
contestada

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

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

in the diagram gef and hef are congruent what is the value of xA60B41C28D30 class=

Respuesta :

alikittymail alikittymail
  • 22-08-2017
To figure it out do this:
60=2(x=2) and slove for x
soo, x=28
Answer Link
JeanaShupp
JeanaShupp JeanaShupp
  • 12-06-2019

Answer: C.28

Step-by-step 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

[tex]2(x+2)=60^{\circ}\\\\\Rightarrow\ x+2=30\\\\\Rightarrow\ x=30-2\\\\\Rightarrow\ x=28[/tex]

Hence, the value of x = 28.

Answer Link

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