Question

Which pairs of angles in the Figure below are vertical Angles ??

Answer 1

Answer:

Option A)∠LRE and ∠FRA

Option D: ∠TRF and ∠NRL

Step-by-step 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.

Answer 2

A. ∠LRE and ∠FRA and D. ∠TRF and NRL