Answer:
The required pair of no-adjacent complementary angles is : ∠FGE and ∠FEG
Step-by-step explanation:
Adjacent angles : The angles which have a common side and a common vertex.
Therefore, Non-adjacent angles are defined as the angles which do not have a common vertex or a common side. ⇒ They do not lie next to each other
Complementary angles : Any two angles are complementary if their sum is equal to 90°
Now, we need to find one pair of non-adjacent complementary angles ⇒ one pair of angles whose sum is 90° but do not lie next to each other.
From the diagram : ∠FGE = 35° and ∠FEG = 55°
They both do not lie next to each other also not have any common side and hence are non - adjacent. And also ∠FGE + ∠FEG = 35° + 55° = 90°
Hence, they are also complementary.
Therefore, The required pair of no-adjacent complementary angles is : ∠FGE and ∠FEG
