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Home >> Angles >> Types of Angle >> Supplementary angles >>

Supplementary angles

Right Angle Acute Angle Obtuse Angle Zero Angle Straight Angle
Complementary Angles Supplementary angles Adjacent Angles Vertical / Vertical Opposite Angles Linear Pair

Two angle are said to be Supplementary Angles When the sum of the measures of their angles is equal to 180°.

Below Figure represent Supplementary Angles.



In the Above Figure,
∠ ABC = 130° and
∠ PQR = 50°


Now, add both the angles and we get;
∠ ABC + ∠ PQR = 130° + 50° = 180°

Since sum of measure of both the angles is equal to 180°
Therefore, ∠ ABC and ∠ PQR are Supplementary Angles.

Study More Solved Questions / Examples

  • Can two acute angles be supplementary to each other?
  • Check whether the following pair of angles is supplementary to each other?

  • Can two obtuse angles be supplementary to each other? Explain.
  • There are two supplementary angles; measure of one angle is 99°. Find measure of other angle?
  • Are the following diagram of pair of angles supplementary to each other?

  • Can two right angles be supplementary to each other? Explain.
  • Study the following diagram, ∠ x = 146°, find its supplementary ∠ y.

  • Check the following pair and write which are supplementary angles?





  • The difference in measure of two supplementary angles is 34. Find the measures of the angles.
  • Two angles are supplementary. Measure of one angle is twice the other. Find the measures of both the angles.
  • Two angles are supplementary. Measure of one angle is one third of the other. Find the measures of both the angles.
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