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Maths / Lines and Angles / Complementary Angles
(A Brief Glimpse of ABHYAS Content - Have aLook !!!!)

# Complementary Angles

When the sum of two angles is 90° then they are said to be Complementary Angles.

Two Angles are Complementary when they add up to 90 degrees (a Right Angle

Illustration: Find the complement of 60, 55 and 82.

Solution: Let the angles be x, y and z

• X + 60 = 90. Hence x = 90 - 60 = 30
• Y + 55 = 90. Hence x = 90 - 55 = 35
• Z + 82 = 90. Hence x = 90 - 82 = 8
• Illustration: Two angles are complementary. If one angle is two times the sum of other angle and 3, find the two angles.

Solution: Let the angle be x and its complementary be 90 - x

According to question: 90 - x = 2(x + 3)

OR   90 - x = 2x + 6

OR   - x - 2x = 6 - 90

OR   3x = 84

x = 28

The angles are 28  and  62 are complementary angles.

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