Question

Work out the angle of size x

Answer 1

x=75

Explanation:

`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`