Adjacent, Vertical, Supplementary, and Complementary Angles

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Adjacent, Vertical, Supplementary, and Complementary Angles

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Presentation transcript:

Adjacent, Vertical, Supplementary, and Complementary Angles

Adjacent angles are “side by side” and share a common ray. 15º 45º

These are examples of adjacent angles. 45º 80º 35º 55º 130º 50º 85º 20º

These angles are NOT adjacent. 100º 50º 35º 35º 55º 45º

When 2 lines intersect, they make vertical angles. 75º 105º 105º 75º

Vertical angles are opposite one another. 75º 105º 105º 75º

Vertical angles are opposite one another. 75º 105º 105º 75º

Vertical angles are congruent (equal). 150º 30º 150º 30º

Supplementary angles add up to 180º. 40º 120º 60º 140º Adjacent and Supplementary Angles Supplementary Angles but not Adjacent

Complementary angles add up to 90º. 30º 40º 50º 60º Adjacent and Complementary Angles Complementary Angles but not Adjacent

Practice Time!

Directions: Identify each pair of angles as vertical, supplementary, complementary, or none of the above.

#1 120º 60º

#1 120º 60º Supplementary Angles

#2 60º 30º

#2 60º 30º Complementary Angles

#3 75º 75º

#3 Vertical Angles 75º 75º

#4 60º 40º

#4 60º 40º None of the above

#5 60º 60º

#5 60º 60º Vertical Angles

#6 135º 45º

#6 135º 45º Supplementary Angles

#7 25º 65º

#7 25º 65º Complementary Angles

#8 90º 50º

#8 90º 50º None of the above