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Common mistakes made when solving problems on Lines and Angles

Though the students enjoy solving the problems on lines and angles, however in many cases they tend to make mistakes. These mistakes could be because of carelessness or because the child did not understand the concept properly. It is always a good idea to be aware about the common mistakes which students usually make so that these can be corrected from the early age. Here are some of the common mistakes which students usually make when solving the problems on lines and angles.

☞ Sum of vertically opposite angles is 180°

Sum of vertically opposite angles is 180° ONLY if the angles are right angles. Otherwise the sum of the angles is NOT 180°.

Ways to teach the children to minimize this error
  • Sum of vertically opposite angles is 180° ONLY if the angles are right angles.
  • Vertically opposite angles are equal to each other.

    • ☞ Sum of vertically opposite angles is 90°

    Sum of vertically opposite angles is 90° ONLY if the angles are 45°. Otherwise the sum of the angles is NOT 90°.

    Ways to teach the children to minimize this error
  • Sum of vertically opposite angles is 90° ONLY if the angles are 45°.
  • Vertically opposite angles are equal to each other.

    • ☞ If two parallel lines are cut by a transversal, sum of the pair of corresponding angles is 180°

    If two parallel lines are cut by a transversal, sum of the pair of corresponding angles is 180° ONLY if each of the angles is 90°. Otherwise the sum of the angles is NOT 180°.

    Ways to teach the children to minimize this error
  • If two parallel lines are cut by a transversal, sum of the pair of corresponding angles is 180° ONLY if each of the angles is 90°.
  • if two parallel lines are cut by a transversal, each pair of corresponding angles are equal.

    • ☞ If two parallel lines are cut by a transversal, sum of the pair of corresponding angles is 90°

    If two parallel lines are cut by a transversal, sum of the pair of corresponding angles is 90° ONLY if each of the angles is 45°. Otherwise the sum of the angles is NOT 90°.

    Ways to teach the children to minimize this error
  • If two parallel lines are cut by a transversal, sum of the pair of corresponding angles is 90° ONLY if each of the angles is 45°.
  • if two parallel lines are cut by a transversal, each pair of corresponding angles are equal.

    • ☞ If two parallel lines are cut by a transversal, sum of the pair of alternate angles is 180°

    If two parallel lines are cut by a transversal, sum of the pair of alternate angles is 180° ONLY if each of the angles is 90°. Otherwise the sum of the angles is NOT 180°.

    Ways to teach the children to minimize this error
  • If two parallel lines are cut by a transversal, sum of the pair of alternate angles is 180° ONLY if each of the angles is 90°.
  • if two parallel lines are cut by a transversal, each pair of alternate angles are equal.

    • ☞ If two parallel lines are cut by a transversal, sum of the pair of alternate angles is 90°

    If two parallel lines are cut by a transversal, sum of the pair of alternate angles is 90° ONLY if each of the angles is 45°. Otherwise the sum of the angles is NOT 180°.

    Ways to teach the children to minimize this error
  • If two parallel lines are cut by a transversal, sum of the pair of alternate angles is 90° ONLY if each of the angles is 45°.
  • if two parallel lines are cut by a transversal, each pair of alternate angles are equal.


    • The best way to remove the above confusion and to ensure the children have less chance of committing mistakes is to practice the problems related to the above situations. Click on Lines & Angles to practice.



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    Given below are other commonly made mistakes in Math:
    Clock Reading Time | Exponents & Power | Whole to number-word | Square root | Lines & Angles | Integers | Area Plane Figure | Perimeter Plane Figure | Algebraic Identities | Congruence of Triangles | Similar Triangles | Coordinate Geometry | Trigonometry | Solving equations | Polynomial | Division | Algebraic Expression | Average |
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