What is the sum of the angles that form a linear pair?
- All Questions
Step by Step Explanation:
- A pair of adjacent angles is said to be a linear pair if the angles have one common arm and the other arms of the angles are the rays pointing in opposite directions.
- Let us understand through the following illustration:
- In the above figure, ∠MON and ∠PON form a linear pair of angles as they have a common arm ON and their other arms, namely OP and OM, are the rays pointing in opposite directions.
- ∠POM = 180° (Angle on a straight line)
Therefore, ∠PON + ∠MON = 180°
- Hence, the sum of the angles that form a linear pair is 180°.