Question

Can someone please help me with this geometry problem? Thank you.

Answer 1

This is the figure I forgot to post. My bad sorry

Answer 2

`\sf\\\ (i)\ \angle EGF+\angle BGF=180^o\ \ \ \textsf{[Sum of angles in straight line is 180}^o.]\\\textsf{or, }\angle EGF+y=180^o\\\textsf{or, }\angle EGF=180^o-y`

`\sf\\(ii)\ \angle CFE=\angle FEG=154^o\ \ \ [\textsf{Alternate angles are equal.}]`

`\sf\\(iii)\ \angle EGF=\angle EFG=180^o-y\ \ \ [\textsf{EG = EF, base angles of isosceles triangle.}]`

`\sf\\(iv)\ \angle FEG+\angle EFG+\angle EGF=180^o\ \ \ [\textsf{Sum of angles of triangle is 180}^o.]\\\textsf{or, }154^o+180^o-y+180^o-y=180^o\\\textsf{or, }154^o+180^o-2y=0\\\textsf{or, }2y=334^o\\\textsf{or, }y=167^o`