Identify which of the following pairs of angles are complementary and which are supplementary: - \(65°, 115°\)
- \(63°,27°\)
- \(112°,68°\)
- \(130°,50°\)
- \(45°,45°\)
- \(80°,10°\)
- \(65°, 115°\)
- \(63°,27°\)
- \(112°,68°\)
- \(130°,50°\)
- \(45°,45°\)
- \(80°,10°\)
Solution and Explanation
If sum of two angles is , \(180°\) then they are called supplementary angles.
If sum of two angles is \(90\degree\) then they are called complementary angles.
(i) \(65°+ 115° = 180\degree\)
These are supplementary angles.
(ii) \(63°+27°=90\degree\)
These are complementary angles.
(iii) \(112°+68°=180\degree\)
These are supplementary angles.
(iv) \(130°+50°=180\degree\)
These are supplementary angles.
(v) \(45°+45°=90\degree\)
These are complementary angles.
(vi) \(80\degree+10\degree=90\degree\)
These are complementary angles.
Read more: Supplementary and Complementary Angles
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