Question

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

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

Answer 1

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