In the figure shown, line AB is parallel to line CD. Part A: What is the measure of angle x? Show your work.

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal.

Cool

Step-by-step explanation:

A. The measure of angle x

The sum of angles in a triangle is 180°

so to get angle x (which is the unknown angle)

62° + x = 180° (62° goes to the other side)

+x = 180° - 62°

x = 118°.

B. The sum of angles in a triangle is 180°, so we subtracted the lower angle from the total angle to get the missing angle

PROOF: 62° + 118° = 180°

addition

step-by-step explanation:

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed