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Question

When three lines intersect each other at three different points, then how many angles will be formed?


A

3

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B

6

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C

12

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D

24

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Solution

In the figure above, three lines AB, BC and AC intersect each other at three points A, B, and C.

Total angles subtended at point A = 4. (As shown in the figure)

Similarly, four angles are subtended at points B and C.

Hence, the total number of angles that are formed when three lines intersect at three points = 4 + 4 + 4 = 12.


Mathematics

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