Parallel Transversal Solving for Angles

$$\angle1\ and\ \angle8$$  

$$\angle3\ and\ \angle7$$  

$$\angle4\ and\ \angle5$$  

$$\angle2\ and\ \angle5$$  

Angle 2

Angle 6

Angle 8

Angle 7

x = 8

x = 13

x = 74

x = 106

40 and 40

65 and 115

40 and 140

75 and 105

Def of Supplementary Angles

Def of Linear Pair

Linear Pair Postulate

Congruent Supplements Thm

8x - 17 + 5x +19 = 180 because "if ll lines, then consecutive interior angles are supplementary".

8x - 17 = 5x + 19 because "if ll lines, then alternate interior angles are equal".

8x - 17 = 5x +19 because "if ll lines, then corresponding angles are equal".

23

-20

32

20

Vertically Opposite Angles are congruent

Corresponding Angles are Supplementary

Co-Interior Angles are Supplementary

Alternate Angles are Congruent

Linear Pair of Angles are Supplementary

Alternate exterior angles

Alternate interior angles

Vertical angles

Corresponding angles

$$\angle1\ and\ \angle8$$  

$$\angle3\ and\ \angle7$$  

$$\angle4\ and\ \angle5$$  

$$\angle2\ and\ \angle5$$