8
QuizMultiple Choice
Parallel Lines and Angles
Question 8 • Reading HS- Integrated Math I
Analyze the diagram below and complete the instructions that follow.The diagram above contains contradictory information. Explain the contradiction.
Answer
A
Since and are consecutive interior angles, they are supplementary angles. Hence, . When you solve for x, your answer is x = 60. and . The measurement of an angle cannot be a negative number for this problem.B
Since and are consecutive interior angles, they are congruent angles. Hence, . When you solve for x, you get x = 0. This would make and = 0°. The measurement of an angle cannot be 0° for this problem.C
Since and are alternate interior angles, they are supplementary. Hence, . When you solve for x, you get x = 60. This would make and . The measurement of an angle cannot be a negative number for this problem.D
Since and are alternate interior angles, they are congruent. Hence, . When you solve for x, you get x = 0. This would make and . The measurement of an angle cannot be a negative number for this problem.