Exploring Angles Formed by Parallel Lines and Transversals

What are the steps to solve problems involving parallel lines cut by a transversal?

• Identify angles, set up algebra, find the answer

• Draw more lines, make assumptions, solve randomly

• Memorize all angle measures, avoid algebra, guess the answer

• Guess the angle measures, check with a protractor, correct mistakes

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

What type of angles are angle 4 and angle 8?

• Corresponding angles

• Vertical angles

• Consecutive interior angles

• Alternate exterior angles

Tags

CCSS.HSG.CO.C.9

What is the value of x when angle 4 is set equal to angle 8?

• 25

• 51

• 102

• 77

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

How do angle 2 and angle 8 relate to each other?

• Consecutive interior angles

• Alternate interior angles

• Vertical angles

• Corresponding angles

Tags

CCSS.HSG.CO.C.9

What is the measure of angle 2?

• 51 degrees

• 77 degrees

• 101 degrees

• 126 degrees

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What relationship do consecutive interior angles have?

• They are equal

• They are complementary

• They are supplementary

• They are congruent

Tags

CCSS.HSG.CO.C.9

After solving for x with consecutive interior angles, what is the measure of angle 5?

• 77 degrees

• 90 degrees

• 101 degrees

• 126 degrees

Tags

CCSS.HSG.CO.C.9

How do angle 4 and angle 2 relate?

• Vertical angles

• Alternate exterior angles

• Corresponding angles

• Consecutive interior angles

Tags

CCSS.HSG.CO.C.9

What is the value of x when solving with corresponding angles?

• 15

• 18

• 45

• 51

Tags

CCSS.HSG.CO.C.9

What is the measure of angle 6 after solving for x with corresponding angles?

• 45 degrees

• 51 degrees

• 61 degrees

• 77 degrees

Tags

CCSS.HSG.CO.C.9