Explementary Angles

Explementary Angles

Explementary angles are two angles which add up to a full angle (360°).

A Real Example of Explementary Angles

Angles of 240° and 120° are explementary angles.

240° + 120° = 360°

How to Find an Explementary Angle

Question

What is the missing angle θ below?

Step-by-Step:

1

The 160° angle and θ are explementary angles.

160° + θ = 360°

2

Subtract the 160° angle from 360°.

θ = 360° − 160° = 200°

Answer:

The explementary angle is 200°.

Slider

The slider below shows another real example of explementary angles.

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See Also

What is an angle? What is a full angle?