The sum of angles of a linear pair is -

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Rajasthan 3rd Grade Level 1 Official Paper (Held On: 25 Feb, 2023 Shift 1)
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  1. 90°
  2. 180°
  3. 270°
  4. 360°

Answer (Detailed Solution Below)

Option 2 : 180°
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Rajasthan 3rd Grade (Level 1) Full Test 11
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Detailed Solution

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Concept:

A linear pair is formed when two adjacent angles share a common verte× and a common arm, and their non-common arms form a straight line.

Property:

The sum of the angles in a linear pair is always equal to 180 degrees.

E×planation:

Since the non-common arms of the two adjacent angles in a linear pair form a straight line, the measure of the angle formed by these non-common arms is 180 degrees. The two adjacent angles together constitute this straight angle.

Therefore, if the measures of the two angles in a linear pair are ∠1 and ∠2, then:

∠1 + ∠2 = 180°

∴ The sum of angles of a linear pair is 180°.

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