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Home >> Angles >> Types of Angle >> Complementary Angles >>

Complementary Angles

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

When the sum of the measures of two angles is equal to 90°, then two angles are referred to as Complementary Angles.

Below Figure
represent Complementary Angles.



In the Above Figure,
∠ ABC = 60° and
∠ PQR = 30°.


Now, add both the angles and we get;
∠ ABC + ∠ PQR = 60° + 30° = 90°

Since sum of measure of both the angles is equal to 90°,
Therefore, ∠ ABC and ∠ PQR are Complementary Angles.

Study More Solved Questions / Examples

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


  • Can two obtuse angles be Complementary to each other? Explain.
  • There are two Complementary angles; measure of one angle is 38. Find measure of other angle ?
  • Are the following diagram of pair of angles Complementary to each other?

  • Can two right angles be Complementary to each other ? Explain.
  • Study the following diagram, ∠ x = 46°, find its Complementary ∠ y.

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






  • The difference in measure of two Complementary angles is 12° . Find the measures of the angles.
  • Two angles are Complementary. Measure of one angle is twice the other. Find the measures of both the angles.
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