adjacent, vertical, supplementary, and complementary angles

Adjacent, Vertical, Supplementary, and Complementary Angles

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Adjacent, Vertical, Supplementary, and Complementary Angles. Adjacent angles: Two angles are adjacent if they share a common vertex and side but have no common interior points . 15 º. 45 º. Examples of adjacent angles. 35 º. 45 º. 80 º. 55 º. 130 º. 50 º. 85 º. 20 º. - PowerPoint PPT Presentation

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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

Page 3: Adjacent, Vertical, Supplementary, and Complementary Angles

Examples of adjacent angles.

55º

35º

50º130º

80º 45º

85º20º

Page 4: Adjacent, Vertical, Supplementary, and Complementary Angles

These angles are NOT adjacent.

45º55º

50º

100º35º

35º

Page 5: Adjacent, Vertical, Supplementary, and Complementary Angles

When 2 lines intersect, they make vertical angles.

75º

105º105º

Page 6: Adjacent, Vertical, Supplementary, and Complementary Angles

Vertical angles are opposite to one another.

75º

105º105º

45º

135º135º

Page 7: Adjacent, Vertical, Supplementary, and Complementary Angles

•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

Page 8: Adjacent, Vertical, Supplementary, and Complementary Angles

60º120º

40º

140º

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.

Page 9: Adjacent, Vertical, Supplementary, and Complementary Angles

60º

30º40º

50º

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.

Page 10: Adjacent, Vertical, Supplementary, and Complementary Angles

Practice Time!

Page 11: Adjacent, Vertical, Supplementary, and Complementary Angles

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

complementary, or none of the above.

Page 12: Adjacent, Vertical, Supplementary, and Complementary Angles

60º120º

Page 13: Adjacent, Vertical, Supplementary, and Complementary Angles

120º + 60º = 180º

Supplementary Angles

Page 14: Adjacent, Vertical, Supplementary, and Complementary Angles

60º30º

30º + 60º = 90º

Complementary Angles

75º75º

Page 17: Adjacent, Vertical, Supplementary, and Complementary Angles

Vertical Angles

Page 18: Adjacent, Vertical, Supplementary, and Complementary Angles

60º40º

Page 19: Adjacent, Vertical, Supplementary, and Complementary Angles

None of the above

THINK AGAIN!

Page 20: Adjacent, Vertical, Supplementary, and Complementary Angles

60º

Page 21: Adjacent, Vertical, Supplementary, and Complementary Angles

Vertical Angles

Page 22: Adjacent, Vertical, Supplementary, and Complementary Angles

45º135º

Page 23: Adjacent, Vertical, Supplementary, and Complementary Angles

Supplementary Angles

Sure Check Again!

135º + 45º = 180º

Page 24: Adjacent, Vertical, Supplementary, and Complementary Angles

65º

25º

Complementary Angles

25º + 65º = 90ºSure Check Again!

50º40º

90º

Page 27: Adjacent, Vertical, Supplementary, and Complementary Angles

None of the above

Oops!

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

Complementary Angles

Is it a pair?

Directions:Determine the missing angle.

Page 29: Adjacent, Vertical, Supplementary, and Complementary Angles

45º?º

Page 30: Adjacent, Vertical, Supplementary, and Complementary Angles

45º135º

Working: Supplementary Angles180º - 45º = 135º

Page 31: Adjacent, Vertical, Supplementary, and Complementary Angles

65º

?º

Page 32: Adjacent, Vertical, Supplementary, and Complementary Angles

65º

25º

Working: Complementary Angles90º - 65º = 25º

Page 33: Adjacent, Vertical, Supplementary, and Complementary Angles

35º

?º

Page 34: Adjacent, Vertical, Supplementary, and Complementary Angles

35º

Working: Vertical Anglesso 35º

Page 35: Adjacent, Vertical, Supplementary, and Complementary Angles

50º

?º

Page 36: Adjacent, Vertical, Supplementary, and Complementary Angles

Working: Supplementary Angles130º + 50º = 180º

50º

130º

Page 37: Adjacent, Vertical, Supplementary, and Complementary Angles

140º

?º

Page 38: Adjacent, Vertical, Supplementary, and Complementary Angles

140º

Working: Vertical Anglesso 140º

Page 39: Adjacent, Vertical, Supplementary, and Complementary Angles

40º

?º

Page 40: Adjacent, Vertical, Supplementary, and Complementary Angles

40º

50º

Working: Complementary Angles90º - 40º = 50º

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