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The figure given below shows a pair of adjacent angles AOB and BOC. Find whether or not the exterior arms OA and OC are in the same straight line - Mathematics

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Question

The figure given below shows a pair of adjacent angles AOB and BOC. Find whether or not the exterior arms OA and OC are in the same straight line

Answer in Brief
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Solution

∠AOB + ∠COB = 180°
Since, the sum of adjacent angles AOB and COB = 180°
(90° -x) + (90°+ x) = 180°
⇒ 90°-x + 90° + x = 180°
⇒ 180° =180°

The exterior arms. OA and OC are in the same straight line.

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Chapter 25: Properties of Angles and Lines (Including Parallel Lines) - Exercise 25 (A)

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Selina Mathematics [English] Class 6
Chapter 25 Properties of Angles and Lines (Including Parallel Lines)
Exercise 25 (A) | Q 4.1
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