IBEW Geometry and Measurement 3 — Questions and Answers
Question 1: Two angles are supplementary. One angle measures 65°. What is the other angle?
- 25°
- 35°
- 115° (Correct answer)
- 295°
Correct answer: 115°
Supplementary angles sum to 180°, so 180° − 65° = 115°.
Question 2: What is the area of a trapezoid with parallel sides of 8 ft and 12 ft, and a height of 5 ft?
- 40 sq ft
- 50 sq ft (Correct answer)
- 60 sq ft
- 100 sq ft
Correct answer: 50 sq ft
Area = ½ × (b₁ + b₂) × h = ½ × (8 + 12) × 5 = ½ × 100 = 50 sq ft.
Question 3: A scale drawing uses a scale of 1 inch = 4 feet. If a wall is 9 inches on the drawing, how long is the actual wall?
- 13 ft
- 36 ft (Correct answer)
- 45 ft
- 72 ft
Correct answer: 36 ft
Actual length = 9 inches × 4 ft/inch = 36 ft.
Question 4: How many square feet are in 1 square yard?
- 3 sq ft
- 6 sq ft
- 9 sq ft (Correct answer)
- 12 sq ft
Correct answer: 9 sq ft
1 yard = 3 feet, so 1 sq yd = 3 ft × 3 ft = 9 sq ft.
Question 5: An angle that measures exactly 90° is called a:
- Acute angle
- Obtuse angle
- Right angle (Correct answer)
- Straight angle
Correct answer: Right angle
A right angle measures exactly 90°, often indicated by a small square symbol in diagrams.
Question 6: A conduit run goes 15 ft horizontally and 8 ft vertically. What is the straight-line distance of the run?
- 17 ft (Correct answer)
- 19 ft
- 21 ft
- 23 ft
Correct answer: 17 ft
Straight-line distance = √(15² + 8²) = √(225 + 64) = √289 = 17 ft.
Two angles are supplementary.
One angle measures 65°.
What is the other angle?