Adjacent, Vertical, Supplementary, Complementary and Alternate, Angles.

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Presentation transcript:

Adjacent, Vertical, Supplementary, Complementary and Alternate, Angles

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

These are examples of adjacent angles. 55º 35º 50º130º 80º 45º 85º 20º

These angles are NOT adjacent. 45º55º 50º 100º 35º

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

Vertical angles are opposite one another. 75º 105º

Vertical angles are opposite one another. 75º 105º

Vertical angles are congruent (equal). 30º150º 30º

Supplementary angles add up to 180º. 60º120º 40º 140º Adjacent and Supplementary Angles Supplementary Angles but not Adjacent

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

Alternate Interior Angles 1.For any pair of parallel lines 1 and 2, that are both intersected by a third line, such as line 3 in the diagram below, angle A and angle D are called alternate interior angles. Alternate interior angles have the same degree measurement. Angle B and angle C are also alternate interior angles.

Alternate Exterior Angles For any pair of parallel lines 1 and 2, that are both intersected by a third line, such as line 3 in the diagram below, angle A and angle D are called alternate exterior angles. Alternate exterior angles have the same degree measurement. Angle B and angle C are also alternate exterior angles.

Practice Time!

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

#1 60º 120º

#1 60º 120º Supplementary Angles

#2 60º 30º

#2 60º 30º Complementary Angles

#3 75º

#3 75º Vertical Angles

#4 60º 40º

#4 60º 40º None of the above

#5 60º

#5 60º Vertical Angles

#6 45º135º

#6 45º135º Supplementary Angles

#7 65º 25º

#7 65º 25º Complementary Angles

#8 50º 90º

#8 50º 90º None of the above

Directions: Determine the missing angle.

#1 45º?º?º

#1 45º135º

#2 65º ?º?º

#2 65º 25º

#3 35º ?º?º

#3 35º

#4 50º ?º?º

#4 50º 130º

#5 140º ?º?º

#5 140º

#6 40º ?º?º

#6 40º 50º