Answer:
55°
Step-by-step explanation:
Vertical angles : Each of the pairs of opposite angles made by two intersecting lines is called Vertical angles
Linear Pair : The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
∠FIL = 30°
So, ∠FIL =∠AIN (Vertical angles)
So, ∠AIN= 30°
∠NIK = 95°
So, ∠NIK =∠RIF (Vertical angles)
So, ∠RIF= 95°
Now , ∠AIN+∠RIA+∠RIF =180° (Linear pair)
So, 30°+∠RIA+95°=180°
∠RIA+125°=180°
∠RIA=55°
So, Option B is true .
Hence the measure of ∠RIA is 55° .
