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lisov135 [29]
3 years ago
5

PLEASEE HELPP TIMED Name one pair of nonadjacent complementary angles in the diagram.

Mathematics
2 answers:
rosijanka [135]3 years ago
5 0

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

IgorLugansk [536]3 years ago
4 0
Complimentary angles add up to 90 degrees
answer is : C < FEG and < EGF.....55 degrees + 35 degrees = 90 degrees....they are complimentary and they are not adjacent (not next to each other)
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