Related Angles

1. Complementary Angles

If the sum of two angles is 90° then they are said to be complementary angles.

2. Supplementary Angles

If the sum of two angles is 180° then they are said to be supplementary angles. If two angles are supplementary then they are the supplement to each other.

3. Adjacent Angles

It is the pair of two angles which are placed next to each other.

Adjacent angles have-

  • A common vertex.
  • A common arm.
  • A non-common arm could be on either side of the common arm.
4. Linear Pair

A pair of adjacent angles whose non-common arm makes a single line i.e. they are the opposite rays.

A linear pair is also a pair of supplementary angles as their sum is 180°.

The above pair of angles is –

  • Adjacent, as they have one common arm.
  • Supplementary, as the sum of two angles, is 180°.
  • The linear pair, as the sum is 180° and the non – common arms are opposite rays.
5. Vertically Opposite Angles

When two lines intersect each other then they form four angles. So that

  • ∠a and ∠b is pair of vertically opposite angles.
  • ∠n and ∠m is pair of vertically opposite angles.
  • Vertically opposite angles are equal.

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