ABCD is a rhombus and AB is produced to E and F such that AF=AB=BE EC and FD are - Maths - Understanding Quadrilaterals

Question

A B C D   i s   a   r h o m b u s   a n d
  A B   i s   p r o d u c e d   t o   E
  a n d   F   s u c h   t h a t   A F = A
B = B E   E C   a n d   F D   a r e   p r
o d u c e d   t o   i n t e r s e c t   e a c h
  o t h e r   a t   G   S h o w   t h a t
  ∠ E G F = 90 ∘

Neha Sethi · Accepted Answer

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Regards

A B C D i s a r h o m b u s a n d A B i s p r o d u c e d t o E a n d F s u c h t h a t A F = A B = B E . E C a n d F D a r e p r o d u c e d t o i n t e r s e c t e a c h o t h e r a t G . S h o w t h a t ∠ E G F = 90 ∘ .

$A B C D i s a r h o m b u s a n d A B i s p r o d u c e d t o E a n d F s u c h t h a t A F = A B = B E . E C a n d F D a r e p r o d u c e d t o i n t e r s e c t e a c h o t h e r a t G . S h o w t h a t ∠ E G F = 90^{\circ} .$