Answer:
Option A)∠LRE and ∠FRA
Option D: ∠TRF and ∠NRL
Explanation:
Definition of Vertical angles : Each of the pairs of opposite angles made by two intersecting lines is called Vertical angles.
Option A)∠LRE and ∠FRA
EA and FL are two intersecting lines at point R
These lines are forming ∠LRE and ∠FRA
So, According to definition ∠LRE and ∠FRA are vertical angles.
Option B)∠ARS and ∠ERN
These angles have a common angle i.e. ∠SRN
According to the definition ∠ARS and ∠ERN are not vertical angles.
Option C: ∠NRA and ∠SRL
According to the definition ∠NRA and ∠SRL are not vertical angles.
Option D: ∠TRF and ∠NRL
LF and TN are two intersecting lines at point R
These lines are forming ∠TRF and ∠NRL
So, According to definition ∠TRF and ∠NRL are vertical angles.