Proving Lines Parallel

Alternate Interior Angles

100

If line p is parallel to line q, find all missing angles if angle 3 = 145.

What is:

Angle 1 = 145

Angle 2 = 35

Angle 3 = 35

Angle 4 = 145

Angle 5 = 145

Angle 6 = 35

Angle 7 = 35

Angle 8 = 145

200

If line p is parallel to line q, find x and all missing angles if angle 4 = 80 and angle 5 = 2x+18.

What is:

x = 31

Angle 1 = 80

Angle 2 = 100

Angle 3 = 100

Angle 4 = 80

Angle 5 = 80

Angle 6 = 100

Angle 7 = 100

Angle 8 = 80

300

If line p is parallel to line q, find x and all missing angles if angle 3 = 5x+20 and angle 6 = 7x-10.

What is:

x = 15

Angle 1 = 85

Angle 2 = 95

Angle 3 = 95

Angle 4 = 85

Angle 5 = 85

Angle 6 = 95

Angle 7 = 95

Angle 8 = 85

400

If line p is parallel to line q, find x, y, and all missing angles if 

angle 3 = 120

angle 4 = 3x+9 

angle 5 = 2x+26

angle 6 = 5y

What is:

x = 17

y = 24

Angle 1 = 60

Angle 2 = 120

Angle 3 = 120

Angle 4 = 60

Angle 5 = 60

Angle 6 = 120

Angle 7 = 120

Angle 8 = 60

500

If line p is parallel to line q, find x, y, z and all missing angles if 

angle 3 = 2z 

angle 4 = 40

angle 5 = 3y+7

angle 6 = 2x-18.

What is:

x = 79

y = 11

z = 70

Angle 1 = 40

Angle 2 = 140

Angle 3 = 140

Angle 4 = 40

Angle 5 = 40

Angle 6 = 140

Angle 7 = 140

Angle 8 = 40

Alternate Exterior Angles

100

If line p is parallel to line q, find all missing angles if angle 1 = 32.

What is:

Angle 1 = 32

Angle 2 = 148

Angle 3 = 148

Angle 4 = 32

Angle 5 = 32

Angle 6 = 148

Angle 7 = 148

Angle 8 = 32

200

If line p is parallel to line q, find x and all missing angles if angle 1 = 75 and angle 8 = 3x+18.

What is:

x = 19

Angle 1 = 75

Angle 2 = 105

Angle 3 = 105

Angle 4 = 75

Angle 5 = 75

Angle 6 = 105

Angle 7 = 105

Angle 8 = 75

300

If line p is parallel to line q, find x and all missing angles if angle 2 = -1+14x and angle 7 = 12x+17.

What is:

x = 9

Angle 1 = 55

Angle 2 = 125

Angle 3 = 125

Angle 4 = 55

Angle 5 = 55

Angle 6 = 125

Angle 7 = 125

Angle 8 = 55

400

If line p is parallel to line q, find x, y, and all missing angles if 

angle 1 = 2x+15 

angle 2 = 115

angle 8 = 3y-7

What is:

x = 25

y = 24

Angle 1 = 65

Angle 2 = 115

Angle 3 = 115

Angle 4 = 65

Angle 5 = 65

Angle 6 = 115

Angle 7 = 115

Angle 8 = 65

500

If line p is parallel to line q, find x, y, z, and all missing angles if 

angle 1 = 3z-15 

angle 2 = 2x+18

angle 3 is a right angle

angle 7 = 5y-10

angle 8 = 2z+20

What is:

x = 36

y = 20

z = 35

Angle 1 = 90

Angle 2 = 90

Angle 3 = 90

Angle 4 = 90

Angle 5 = 90

Angle 6 = 90

Angle 7 = 90

Angle 8 = 90

Corresponding Angles

100

If line p is parallel to line q, find all missing angles if angle 2 = 100.

What is:

Angle 1 = 80

Angle 2 = 100

Angle 3 = 100

Angle 4 = 80

Angle 5 = 80

Angle 6 = 100

Angle 7 = 100

Angle 8 = 80

200

If line p is parallel to line q, find x and all missing angles if angle 1 = 60 and angle 5 = 8x-4.

What is:

x = 8

Angle 1 = 60

Angle 2 = 120

Angle 3 = 120

Angle 4 = 60

Angle 5 = 60

Angle 6 = 120

Angle 7 = 120

Angle 8 = 60

300

If line p is parallel to line q, find x and all missing angles if angle 3 = 23x-5 and angle 7 = 21x+5.

What is:

x = 5

Angle 1 = 70

Angle 2 = 110

Angle 3 = 110

Angle 4 = 70

Angle 5 = 70

Angle 6 = 110

Angle 7 = 110

Angle 8 = 70

400

If line p is parallel to line q, find x, y, and all missing angles if 

angle 4 = 75

angle 6 = 6y+3

angle 8 = 11x-2

What is:

x = 7

y = 17

Angle 1 = 75

Angle 2 = 105

Angle 3 = 105

Angle 4 = 75

Angle 5 = 75

Angle 6 = 105

Angle 7 = 105

Angle 8 = 75

500

If line p is parallel to line q, find x, y, z, and all missing angles if 

angle 1 = 2z+20

angle 2 = 3y+10

angle 3 = x-20

angle 8 = 80

What is:

x = 120

y = 30

z = 30

Angle 1 = 80

Angle 2 = 100

Angle 3 = 100

Angle 4 = 80

Angle 5 = 80

Angle 6 = 100

Angle 7 = 100

Angle 8 = 80

Consecutive Interior Angles

100

If line p is parallel to line q, find all missing angles if angle 2 = 90.

What is:

Angle 1 = 90

Angle 2 = 90

Angle 3 = 90

Angle 4 = 90

Angle 5 = 90

Angle 6 = 90

Angle 7 = 90

Angle 8 = 90

200

If line p is parallel to line q, find x and all missing angles if angle 3 = 120 and angle 5 = 8x-4.

What is:

x = 8

Angle 1 = 60

Angle 2 = 120

Angle 3 = 120

Angle 4 = 60

Angle 5 = 60

Angle 6 = 120

Angle 7 = 120

Angle 8 = 60

300

If line p is parallel to line q, find x and all missing angles if 

angle 3 = x +91

angle 5 = x+89

What is:

x = 0

Angle 1 = 89

Angle 2 = 91

Angle 3 = 91

Angle 4 = 89

Angle 5 = 89

Angle 6 = 91

Angle 7 = 91

Angle 8 = 89

400

If line p is parallel to line q, find x, y, and all missing angles if 

angle 4 = 80 

angle 5 = 2x+18

angle 6 = 6y-2

What is:

x = 31

y = 17

Angle 1 = 80

Angle 2 = 100

Angle 3 = 100

Angle 4 = 80

Angle 5 = 80

Angle 6 = 100

Angle 7 = 100

Angle 8 = 80

500

If line p is parallel to line q, find x, y, z, and all missing angles if 

angle 3 = 5z 

angle 4 = 6y

angle 5 = 3x

angle 6 = 14x+10

What is:

x = 10

y = 5

z = 30

Angle 1 = 30

Angle 2 = 150

Angle 3 = 150

Angle 4 = 30

Angle 5 = 30

Angle 6 = 150

Angle 7 = 150

Angle 8 = 30

Same-Side Exterior

100

If line p is parallel to line q, find all missing angles if angle 8 = 58.

What is:

Angle 1 = 58

Angle 2 = 122

Angle 3 = 122

Angle 4 = 58

Angle 5 = 58

Angle 6 = 122

Angle 7 = 122

Angle 8 = 58

200

If line p is parallel to line q, find x and all missing angles if angle 2 = 110 and angle 6 = 4x+18.

What is:

x = 23

Angle 1 = 70

Angle 2 = 110

Angle 3 = 110

Angle 4 = 70

Angle 5 = 70

Angle 6 = 110

Angle 7 = 110

Angle 8 = 70

300

If line p is parallel to line q, find x and all missing angles if angle 1 = x+89 and angle 7 = x+109.

What is:

x = -9

Angle 1 = 80

Angle 2 = 100

Angle 3 = 100

Angle 4 = 80

Angle 5 = 80

Angle 6 = 100

Angle 7 = 100

Angle 8 = 80

400

If line p is parallel to line q, find x, y, and all missing angles if 

angle 1 = 2x 

angle 2 = 3y

angle 7 = 3x

angle 8 = 2y

What is:

x = 36

y = 36

Angle 1 = 72

Angle 2 = 108

Angle 3 = 108

Angle 4 = 72

Angle 5 = 72

Angle 6 = 108

Angle 7 = 108

Angle 8 = 72

500

If line p is parallel to line q, find x, y, z, and all missing angles if 

angle 1 = 2x 

angle 2 = 5y+18

angle 7 = 3z 

angle 8 = 72

What is:

x = 36

y = 18

z = 36

Angle 1 = 72

Angle 2 = 108

Angle 3 = 108

Angle 4 = 72

Angle 5 = 72

Angle 6 = 108

Angle 7 = 108

Angle 8 = 72