Adjacent, Vertical, Supplementary, and Complementary Angles

Adjacent angles:Two anglesare adjacent if they share a common vertex and sidebut have no common interior points.

45º15º

Examples of adjacent angles.

50º130º

80º 45º

85º20º

These angles are NOT adjacent.

45º55º

100º35º

When 2 lines intersect, they make vertical angles.

105º105º

Vertical angles are opposite to one another.

105º105º

135º135º

•Vertical angles are congruent (equal).•Two angles are vertical angles if their sides form two pairs of opposite rays.

•The sum of the measures of anglesthat form a linear pair is 180°.

30º150º

150º30º

60º120º

Adjacent and Supplementary Angles

Supplementary Anglesbut not Adjacent

Supplementary angles :• Two angles are Supplementary angles if the

sum of their measures is 90°. • Each angle is the Supplement of the other.• Supplementary angles can be adjacent or

nonadjacent.

30º40º

Adjacent and Complementary Angles

Complementary Anglesbut not Adjacent

Complementary angles :• Two angles are Complementary angles if the

sum of their measures is 90°. • Each angle is the complement of the other.• Complementary angles can be adjacent or

nonadjacent.

Practice Time!

Directions: Identify each pair of angles as vertical, supplementary,

complementary, or none of the above.

60º120º

120º + 60º = 180º

Supplementary Angles

60º30º

30º + 60º = 90º

Complementary Angles

75º75º

Vertical Angles

60º40º

None of the above

THINK AGAIN!

Vertical Angles

45º135º

Supplementary Angles

Sure Check Again!

135º + 45º = 180º

25º + 65º = 90ºSure Check Again!

50º40º

None of the above

Sure Check Again!50º + 90º + 40º = 180º

Is it a pair?

Directions:Determine the missing angle.

45º?º

45º135º

Working: Supplementary Angles180º - 45º = 135º

Working: Complementary Angles90º - 65º = 25º

Working: Vertical Anglesso 35º

Working: Supplementary Angles130º + 50º = 180º

Working: Vertical Anglesso 140º

Working: Complementary Angles90º - 40º = 50º

Adjacent, Vertical, Supplementary, and Complementary Angles

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Adjacent, vertical, complementary and supplementary angles

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