Question

What is the measure of RIA ?

Answer 1

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° .

Answer 2

B is correct. 30+95=125. 180-125=55 degrees. Hope this helps! ;)