Looking at Problem 6, I can see a diagram with parallel lines cut by a transversal. There's an angle marked as 130° and angles labeled A, B, C.
First, look closely:
- The 130° angle is on the upper left side of the transversal.
- Angle A is adjacent to the 130° angle, forming a straight line (180°), so A = 180° - 130° = 50°
- Angle B is corresponding to the 130° angle (on the same side of the transversal and in the same relative position), so B = 130° (corresponding angles are equal when lines are parallel)
- Angle C is corresponding to angle A, so C = 50° (corresponding angles are equal)
Let me now summarize all the answers:
Problem 1:
- A = 50° (180° - 90° - 40°)
Problem 2:
- A = 60° (vertical angle to the given 60°)
- B = 120° (supplementary to 60°)
- C = 120° (vertical angle to B)
Problem 3:
- A = 10° (90° - 80°, since they form a right angle)
- B = 80° (vertical angle to the given 80°)
Problem 4:
- A = 60° (if isosceles, then 180° - 60° = 120°, divided equally between A and B)
- B = 60° (same reasoning as A)
Problem 5:
- A = 60° (90° - 30°, assuming the unlabeled angle is 30° based on the diagram)
- B = 120° (supplementary to A)
- C = 60° (vertical to A)
- D = 120° (vertical to B)
- E = 60° (supplementary to D)
- F = 60° (vertical to E)
Problem 6:
- A = 50° (supplementary to 130°)
- B = 130° (corresponding to the given 130° angle)
- C = 50° (corresponding to A)
These are the solutions for each problem on the worksheet.
Parent Tip: Review the logic above to help your child master the concept of calculating missing angles worksheet.