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How many pairs of adjacent angles are formed when two lines intersect in a point? - Mathematics

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Question

How many pairs of adjacent angles are formed when two lines intersect in a point?

Sum

Solution

Let us draw the following diagram showing two lines AB and CD intersecting at a point O.

We have the following pair of adjacent angles, so formed:

∠AOC and  ∠BOC

∠AOC and  ∠AOD

∠BOD and  ∠BOC

∠BOD and ∠AOD

Hence, in total four pair of adjacent angles are formed.

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Chapter 10: Lines and Angles - Exercise 10.5 [Page 50]

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RD Sharma Mathematics [English] Class 9
Chapter 10 Lines and Angles
Exercise 10.5 | Q 12 | Page 50
RD Sharma Mathematics [English] Class 9
Chapter 10 Lines and Angles
Exercise 10.2 | Q 6 | Page 15
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