4
QuizMultiple Choice
Parallel Lines and Angles
Question 4 • Reading HS- Integrated Math I
Analyze the diagram below and complete the instructions that follow.The diagram contains contradictory information. Explain the contradiction.
Answer
A
Since and are consecutive interior angles, they are supplementary. Therefore, . When you solve for x, you get 0 = 180. This equality is not valid.B
Since and are consecutive interior angles, they are congruent. Therefore, . When you solve for x, you get x = 30. This would make and . An angle cannot measure , because it would not exist.C
Since and are corresponding angles, they are supplementary. Therefore, . When you solve for x, you get 0 = 180. This equality is not valid.D
Since and are corresponding angles, they are congruent. Therefore, . When you solve for x, you get x = 30. This would make and . An angle cannot measure .