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Question
In the following figure, write, if any, (i) each pair of vertically opposite angles, and (ii) each linear pair.
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Solution
Vertically opposite angles are the angles, opposite to each other when two lines cross, A linear pair is a pair of adjacent angles whose non-common sides are opposite rays.
Following are vertically opposite angles and linear pair in the above figure:
| Figure | Vertically opposite angles | Linear pair |
|
∠1, ∠3; ∠2, ∠4; ∠5, ∠7; ∠6, ∠8 | ∠1, ∠2; ∠1, ∠4; ∠4, ∠3; ∠3, ∠2; ∠5, ∠8; ∠8, ∠7; ∠7, ∠6, ∠6, ∠5 |
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