Question

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

• A. 12

Answer 1

The correct option is A 12
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.