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  • 14-01-2022
  • Mathematics
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If angle EBH = 7b - 24 and angle ABE = 2b, find angle EBF

If angle EBH 7b 24 and angle ABE 2b find angle EBF class=

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Аноним Аноним
  • 14-01-2022

 

Solution.

[tex]2b+2b=7b-24[/tex]

[tex]4b=7b-24[/tex]

minus 7b on both sides

[tex]-3b[/tex][tex]=-24[/tex]

divide -3b on each side

[tex]b=8[/tex]

substituting to find angle EBF using the value of b

= [tex]2b[/tex]

[tex]2(8)\\\\=16[/tex]

Note: I PUT 2b on EBF because it had a congruence circle on the angle similar to ABE so they will have 2b both them

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