andrewakude andrewakude
  • 20-11-2020
  • Mathematics
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work out the angle of size x

work out the angle of size x class=

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BrainLifting
BrainLifting BrainLifting
  • 20-11-2020

Answer:

x=75

Step-by-step explanation:

[tex]We\ are\ given\ that, \\Angle GFE=105\\We\ observe\ that, \\Angle\ GFE\ and Angle\ EFB\ form\ a\ linear\ pair\ and\ hence,\ are\ supplementary.\\Hence,\\Angle\ GFE\ + Angle\ EFB=180\\Hence,\\105+Angle\ EFB=180\\Angle\ EFB=180-105\\Angle\ EFB=75\\We\ know\ observe\ that\ Angle\ EFB\ and\ Angle\ ABC\ are\ corresponding\ angles\ and\ are\ equal\\Hence,\\Angle\ EFB\ = \ Angle\ ABC\\75=Angle\ ABC\\75=x\\x=75[/tex]

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