What is the sum of the angles that form a linear pair?


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Answer:

180°

Step by Step Explanation:
  1. 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.
  2. Let us understand through the following illustration:
  3. 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.
  4. ∠POM = 180° (Angle on a straight line)
    Therefore, ∠PON + ∠MON = 180°
  5. Hence, the sum of the angles that form a linear pair is 180°.

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