Which of the following pairs of angles are supplementary
(a) 46⁰and 44⁰
(b) 103⁰and 77⁰
(c) 245⁰and 115⁰
(d) 90⁰and 180⁰
Answers
Answer :
›»› 103° and 77° are a pairs of angles are supplementary angle.
Step-by-step explanation :
Given :
- 46° ans 44°.
- 103° and 77°.
- 245° and 115°.
- 90° and 108°.
To Find :
- The pair of supplementary angle.
Knowledge required :
The sum of two angles is 180°, then they are said to be supplementary angle.
Solution :
As we know that
When the sum of two angles is equal to 180°, then they are called supplementary angle.
Example:
- 90° + 90° = 180°.
- 120° + 60° = 180°.
- 100° + 80° = 180°.
- 110° + 70° = 180°.
1.⟩ 46° and 44° are not supplementary angle.
Reason: Because when we add these two angle then their sum is not equal to 180°.
→ 46° + 44° ≠ 180°
→ 90° ≠ 180°.
2.⟩ 103° and 77° are supplementary angle.
Reason: When we add these two angles then their sum is equal to 180°.
→ 103° + 77° = 180°
→ 180° = 180°.
3.⟩ 245° and 115° are not supplementary angle.
Reason: Because when we add these two angle then their sum is not equal to 180°.
→ 245° + 115° ≠ 180°
→ 360° ≠ 180°.
4.⟩ 90° and 180° are not supplementary angle.
Reason: Because when we add these two angle then their sum is not equal to 180°.
→ 90° + 180° ≠ 180°
→ 270 ≠ 180°.
So, here we can conclude that option (b) 103° and 77° are supplementary angle.
Hence, 103° and 77° are a pairs of angles are supplementary angle.
Option (b) 103° and 77° is correct ✔.