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If a line is transversal to three lines, then how many angles will be formed ?

  • A.3
  • B.12
  • C.9
  • D.6

Answer: B

12 angles are formed.

A transversal crossing one line makes four angles at the point where they meet. Crossing three lines, it meets each of them at a separate point, so

\[ 3 \times 4 = 12\ \text{angles} \]

A transversal of two lines makes the familiar 8 angles (corresponding, alternate and so on); adding a third line adds another four. The options 3, 6 and 9 count the points of intersection or only some of the angles at each.

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