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Mathematics Question on Related Angles

Identify which of the following pairs of angles are complementary and which are supplementary:

  1. 65°,115°65°, 115°
  2. 63°,27°63°,27°
  3. 112°,68°112°,68°
  4. 130°,50°130°,50°
  5. 45°,45°45°,45°
  6. 80°,10°80°,10°
Answer

If sum of two angles is , 180°180° then they are called supplementary angles.
If sum of two angles is 90∘90\degree then they are called complementary angles.

(i) 65°+115°=180∘65°+ 115° = 180\degree
These are supplementary angles.

(ii) 63°+27°=90∘63°+27°=90\degree
These are complementary angles.

(iii) 112°+68°=180∘112°+68°=180\degree
These are supplementary angles.

(iv) 130°+50°=180∘130°+50°=180\degree
These are supplementary angles.

(v) 45°+45°=90∘45°+45°=90\degree
These are complementary angles.

(vi) 80∘+10∘=90∘80\degree+10\degree=90\degree
These are complementary angles.

Read more: Supplementary and Complementary Angles