Given:
In figure, ΔDEF has two equal angles ∠E and ∠F.
[tex]DE=40,EF=6x+10,DF=8x-24[/tex]
To find:
The incorrect statement from the given options.
Solution:
In triangle DEF,
[tex]\angle E=\angle F[/tex] (Given)
[tex]DF=DE[/tex] (Base angles are equal, so it is an isosceles triangle)
[tex]8x-24=40[/tex]
[tex]8x=40+24[/tex]
[tex]8x=64[/tex]
Divide both sides by 8.
[tex]x=8[/tex]
Now,
[tex]DE=DF=40[/tex] (Isosceles triangle)
[tex]EF=6x+10[/tex]
[tex]EF=6(8)+10[/tex]
[tex]EF=48+10[/tex]
[tex]EF=58[/tex]
Therefore, x=8, FE=58, DE =40 and DF = 40.
Hence, the incorrect statement is in option B. So, option B is correct.
