Parallel Lines Cut by a Transversal

Right Angle

90 degree angle

Transversal

A Line that crosses two or more parallel lines.

Congruent Angles

Angles that are the same degrees.

Alternate Interior Angles

Congruent angles formed by parallel lines cut by a transversal that are both between the parallel lines and on opposite sides of the transversal line.

Corresponding Angles

Congruent angles formed by parallel lines cut by a transversal that are both on the same side of the transversal line but one is between the parallel lines while the other is outside the parallel lines.

Alternate Exterior Angles

Congruent angles formed by parallel lines cut by a transversal that are both outside the parallel lines and on opposite sides of the transversal line.

Vertical Angles

Congruent angles formed by parallel lines cut by a transversal that share a vertex. These are across a vertex from each other and form a "bow tie".

x = 33, m∠8 = 150°

If m∠1 = (2x - 36)° and m∠3 = (3x - 69)°, What is m∠8?

x = 31, m∠8 = 68°

If m∠1 = (6x - 74)° and m∠4 = (2x + 6)°, What is m∠8?

x = 61, m∠3 = 120°

If m∠1 = (x + 59)° and m∠5 = (2x - 2)°, What is m∠3?

x = 10, m∠5 = 108°

If m∠1 = (x + 98)° and m∠8 = (2x + 52)°, What is m∠5?

x = 18, m∠4 = 138°

If m∠2 = (11x - 60)° and m∠6 = (13x - 96)°, What is m∠4?

x = 16, m∠1 = 57°

If m∠2 = (12x - 69)° and m∠3 = (x + 41)°, What is m∠1?

x = 15, m∠1 = 38°

If m∠2 = (15x - 83)° and m∠7 = (2x + 8)°, What is m∠1?

x = 21, m∠1 = 55°

If m∠2 = (2x + 83)° and m∠8 = (8x - 43)°, What is m∠1?

x = 7, m∠5 = 96°

If m∠2 = (3x + 63)° and m∠7 = (6x + 54)°, What is m∠5?

x = 25, m∠1 = 97°

If m∠2 = (4x - 17)° and m∠7 = (3x + 22)°, What is m∠1?

x = 18, m∠6 = 27°

If m∠2 = (4x - 45)° and m∠8 = (2x - 9)°, What is m∠6?

x = 20, m∠7 = 41°

If m∠2 = (5x + 39)° and m∠4 = (2x + 99)°, What is m∠7?

x = 11, m∠6 = 96°

If m∠2 = (5x + 41)° and m∠7 = (11x - 37)°, What is m∠6?

x = 29, m∠8 = 118°

If m∠2 = (6x - 56)° and m∠4 = (x + 89)°, What is m∠8?

x = 17, m∠1 = 160°

If m∠2 = (7x - 99)° and m∠4 = (3x - 31)°, What is m∠1?

x = 14, m∠7 = 69°

If m∠2 = (8x - 1)° and m∠4 = (6x + 27)°, What is m∠7?

x = 11, m∠1 = 110°

If m∠2 = (8x - 18)° and m∠3 = (16x - 66)°, What is m∠1?

x = 25, m∠6 = 112°

If m∠2 = (x + 87)° and m∠5 = (2x + 18)°, What is m∠6?

x = 89, m∠1 = 4°

If m∠2 = (x + 87)° and m∠8 = (3x - 91)°, What is m∠1?

x = 27, m∠1 = 96°

If m∠3 = (3x + 15)° and m∠8 = (5x - 51)°, What is m∠1?

x = 18, m∠1 = 120°

If m∠3 = (4x + 48)° and m∠5 = (6x + 12)°, What is m∠1?

x = 9, m∠5 = 18°

If m∠3 = (5x - 27)° and m∠7 = (x + 9)°, What is m∠5?

x = 10, m∠7 = 82°

If m∠3 = (7x + 12)° and m∠8 = (11x - 12)°, What is m∠7?

x = 15, m∠5 = 93°

If m∠3 = (7x - 12)° and m∠2 = (8x - 33)°, What is m∠5?

x = 3, m∠1 = 85°

If m∠3 = (9x + 58)° and m∠6 = (14x + 53)°, What is m∠1?

x = 8, m∠8 = 115°

If m∠3 = (9x - 7)° and m∠1 = (x + 57)°, What is m∠8?

x = 59, m∠8 = 107°

If m∠3 = (x + 14)° and m∠2 = (3x - 70)°, What is m∠8?

x = 35, m∠7 = 81°

If m∠3 = (x + 46)° and m∠2 = (3x - 6)°, What is m∠7?

x = 13, m∠1 = 75°

If m∠3 = (x + 62)° and m∠4 = (11x - 38)°, What is m∠1?

x = 12, m∠2 = 146°

If m∠4 = (18x - 70)° and m∠5 = (4x - 14)°, What is m∠2?

x = 18, m∠2 = 101°

If m∠4 = (7x - 25)° and m∠1 = (9x - 83)°, What is m∠2?

x = 14, m∠2 = 85°

If m∠4 = (8x - 27)° and m∠8 = (2x + 57)°, What is m∠2?

x = 2, m∠2 = 84°

If m∠5 = (11x + 74)° and m∠6 = (15x + 54)°, What is m∠2?

x = 3, m∠4 = 160°

If m∠5 = (13x - 19)° and m∠7 = (x + 17)°, What is m∠4?

x = 14, m∠4 = 63°

If m∠5 = (15x - 93)° and m∠3 = (3x + 75)°, What is m∠4?

x = 15, m∠6 = 113°

If m∠5 = (2x + 37)° and m∠4 = (x + 98)°, What is m∠6?

x = 16, m∠6 = 93°

If m∠5 = (3x + 39)° and m∠4 = (9x - 51)°, What is m∠6?

x = 2, m∠4 = 153°

If m∠5 = (4x + 19)° and m∠3 = (14x - 1)°, What is m∠4?

x = 31, m∠8 = 95°

If m∠5 = (4x - 39)° and m∠3 = (x + 54)°, What is m∠8?

x = 25, m∠2 = 85°

If m∠5 = (5x - 30)° and m∠6 = (3x + 10)°, What is m∠2?

x = 18, m∠2 = 102°

If m∠5 = (7x - 48)° and m∠6 = (x + 84)°, What is m∠2?

x = 35, m∠7 = 150°

If m∠5 = (7x - 95)° and m∠6 = (x - 5)°, What is m∠7?

x = 21, m∠6 = 72°

If m∠5 = (8x - 60)° and m∠2 = (4x - 12)°, What is m∠6?

x = 2, m∠3 = 66°

If m∠5 = (x + 64)° and m∠7 = (7x + 52)°, What is m∠3?

x = 21, m∠6 = 162°

If m∠5 = (x - 3)° and m∠1 = (2x - 24)°, What is m∠6?

x = 15, m∠4 = 93°

If m∠6 = (10x - 57)° and m∠5 = (7x - 18)°, What is m∠4?

x = 18, m∠8 = 118°

If m∠6 = (12x - 98)° and m∠1 = (4x - 10)°, What is m∠8?

x = 13, m∠2 = 139°

If m∠6 = (18x - 95)° and m∠3 = (4x - 11)°, What is m∠2?

x = 44, m∠7 = 93°

If m∠6 = (2x - 1)° and m∠1 = (3x - 39)°, What is m∠7?

x = 33, m∠4 = 63°

If m∠6 = (3x - 36)° and m∠5 = (6x - 81)°, What is m∠4?

x = 69, m∠4 = 120°

If m∠6 = (3x - 87)° and m∠5 = (x - 9)°, What is m∠4?

x = 13, m∠5 = 83°

If m∠6 = (4x + 45)° and m∠7 = (6x + 5)°, What is m∠5?

x = 2, m∠5 = 99°

If m∠6 = (4x + 73)° and m∠7 = (x + 97)°, What is m∠5?

x = 35, m∠2 = 102°

If m∠6 = (4x - 38)° and m∠5 = (2x + 8)°, What is m∠2?

x = 16, m∠3 = 94°

If m∠6 = (5x + 6)° and m∠4 = (3x + 38)°, What is m∠3?

x = 33, m∠1 = 111°

If m∠6 = (5x - 96)° and m∠2 = (x + 36)°, What is m∠1?

x = 4, m∠4 = 5°

If m∠6 = (7x - 23)° and m∠2 = (10x - 35)°, What is m∠4?

x = 5, m∠5 = 102°

If m∠6 = (8x + 38)° and m∠7 = (14x + 32)°, What is m∠5?

x = 5, m∠5 = 87°

If m∠6 = (9x + 48)° and m∠3 = (10x + 37)°, What is m∠5?

x = 59, m∠7 = 124°

If m∠6 = (x - 3)° and m∠1 = (3x - 53)°, What is m∠7?

x = 5, m∠5 = 86°

If m∠7 = (11x + 31)° and m∠8 = (15x + 19)°, What is m∠5?

x = 10, m∠8 = 66°

If m∠7 = (13x - 16)° and m∠1 = (11x + 4)°, What is m∠8?

x = 10, m∠3 = 83°

If m∠7 = (18x - 97)° and m∠4 = (4x + 57)°, What is m∠3?

x = 44, m∠8 = 85°

If m∠7 = (2x + 7)° and m∠6 = (x + 41)°, What is m∠8?

x = 6, m∠3 = 32°

If m∠7 = (3x + 14)° and m∠1 = (x + 26)°, What is m∠3?

x = 11, m∠1 = 108°

If m∠7 = (4x + 64)° and m∠5 = (14x - 46)°, What is m∠1?

x = 39, m∠5 = 72°

If m∠7 = (4x - 84)° and m∠2 = (x + 69)°, What is m∠5?

x = 22, m∠6 = 48°

If m∠7 = (5x + 22)° and m∠5 = (2x + 88)°, What is m∠6?

x = 7, m∠4 = 63°

If m∠7 = (5x + 82)° and m∠1 = (4x + 89)°, What is m∠4?

x = 16, m∠5 = 80°

If m∠7 = (7x - 32)° and m∠3 = (3x + 32)°, What is m∠5?

x = 20, m∠5 = 155°

If m∠7 = (9x - 25)° and m∠1 = (4x + 75)°, What is m∠5?

x = 47, m∠3 = 56°

If m∠7 = (x + 9)° and m∠1 = (3x - 85)°, What is m∠3?

x = 4, m∠6 = 89°

If m∠8 = (12x + 41)° and m∠7 = (10x + 51)°, What is m∠6?

x = 18, m∠3 = 55°

If m∠8 = (12x - 91)° and m∠4 = (2x + 89)°, What is m∠3?

x = 12, m∠2 = 105°

If m∠8 = (14x - 63)° and m∠6 = (16x - 87)°, What is m∠2?

x = 46, m∠2 = 95°

If m∠8 = (2x + 3)° and m∠3 = (4x - 99)°, What is m∠2?

x = 14, m∠4 = 34°

If m∠8 = (2x + 6)° and m∠2 = (6x - 50)°, What is m∠4?

x = 39, m∠4 = 85°

If m∠8 = (2x + 7)° and m∠3 = (3x - 22)°, What is m∠4?

x = 85, m∠1 = 27°

If m∠8 = (2x - 17)° and m∠4 = (x + 68)°, What is m∠1?

x = 56, m∠1 = 141°

If m∠8 = (2x - 73)° and m∠6 = (x - 17)°, What is m∠1?

x = 18, m∠1 = 81°

If m∠8 = (4x + 27)° and m∠4 = (2x + 63)°, What is m∠1?

x = 12, m∠5 = 94°

If m∠8 = (4x + 38)° and m∠1 = (5x + 34)°, What is m∠5?

x = 3, m∠7 = 170°

If m∠8 = (6x - 8)° and m∠6 = (14x - 32)°, What is m∠7?

x = 3, m∠6 = 86°

If m∠8 = (7x + 65)° and m∠3 = (11x + 61)°, What is m∠6?

x = 6, m∠1 = 80°

If m∠8 = (9x + 46)° and m∠5 = (13x + 2)°, What is m∠1?

Perpendicular Lines

Lines that cross at a 90 degree angle.

Parallel Lines

Lines that run next to each other and never intersect.

Consecutive (same-side) Interior Angles

Supplementary angles formed by parallel lines cut by a transversal that are both on the same side of the transversal line and between the parallel lines.

Consecutive (same-side) Exterior Angles

Supplementary angles formed by parallel lines cut by a transversal that are both on the same side of the transversal line and outside the parallel lines.

Linear Pair of Angles

Supplementary angles formed by parallel lines cut by a transversal that are next to each other. They will share a vertex and ray.

Supplementary Angles

Two or more angles that form a straight angle (add up to 180 degrees).

Acute Angle

an angle that is < 90 degrees

Obtuse Angle

an angle that is > 90 degrees and < 180 degrees