IBEW Geometry and Measurement 3

Question 1

Two angles are supplementary. One angle measures 65°. What is the other angle?

Accepted Answer

115°

Answer

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?

Accepted Answer

50 sq ft

Answer

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?

Accepted Answer

36 ft

Answer

Actual length = 9 inches × 4 ft/inch = 36 ft.

Question 4

How many square feet are in 1 square yard?

Accepted Answer

9 sq ft

Answer

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:

Accepted Answer

Right angle

Answer

A right angle measures exactly 90°, often indicated by a small square symbol in diagrams.

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