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Angle relationship notes.notebook
Angle and Line Relationships (1) Complementary angles ­ two angles with measures that add up to 90 degrees. February 27, 2017
(6) Alternate exterior angles ­ angles on opposite sides of the transversal and outside the parallel lines. Alternate exterior angles are congruent. (2) Supplementary angles ­ two angles with measures that add up to 180 degrees. (7) Corresponding angles ­ angles that are in the same position on the parallel lines in relation to the transversal. Corresponding angles are congruent. (3) Vertical angles ­ pairs of opposite angles formed by intersecting lines. Vertical angles are congruent. (8) Transversal ­ a line that intersects two or more other lines in a plane. (4) Adjacent angles ­ two angles that have the same vertex, share a common side and do not overlap. (5) Alternate interior angles ­ are opposite sides of the transversal and inside the parallel lines. Alternate interior angles are congruent. Apr 14­7:24 AM
Apr 14­7:30 AM
1 3
2 4
123
4 5
6 7
5 7
6 8
8 9
Types of angles: Angle 3 = 28
Given Vertical:
Angle 4 = 28
Angle 5 = 152
Alternate interior:
Angle 6 = 152
Angle 7 = 28 Angle 8 = 28
Alternate exterior:
Angle 9 = 152
Angle 1 = 90
Angle 2 = 62
Corresponding: Supplementary:
Apr 14­7:34 AM
Mar 23­8:48 AM
5 4
6 3
1
7 2
8 1
Angle 1 = 50
Given Angle 2 = Angle 1 and angle 2 are supplementary
Angle 7 = Angle 1 and angle 7 are vertical Angle 1 = 51
4
2 3
5 8
6 7
Given Angle 2 = Angle 3 = Angle 3 = Angle 1 and angle 3 are corresponding
Angle 5 = Angle 1 and angle 5 are alternate exterior Angle 6 = Angle 2 and angle 6 are alternate interior Angle 7 = Angle 4 = Angle 4 and angle 6 are vertical Angle 8 = Angle 8 = Angle 1 and angle 8 are supplementary
Angle 4 = Angle 5 = Angle 6 = Apr 14­7:52 AM
Apr 14­8:28 AM
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