Question
When three lines intersect each other at three different points, then how many angles will be formed?
Answer: Option C
:
C
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.
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:
C
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.
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