Lesson 8, Topic 3
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Supplementary Angles

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Supplementary angles are those angles that measure up to 180 degrees.

For example, angle 120° and angle 60° are supplementary because when we add 120° and 60° we get 180°.

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If a = 50°, b = 70°, c = 60°,

a + b + c = 50° + 70° + 60° = 180°

supplementary angle

Thus, supplementary angles add up to 180°

Note that adjacent angles on a straight line are said to be supplementary.   

Example

Find the value of y in the diagram below 

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Solution 

50° + y° + 35° = 180° (supplementary angles) 

y + 85° = 180°

y = 180° – 85°

y = 95°

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