To solve the question, let's analyze the problem:

Set squares are geometric tools used in drafting and geometry. Typically, the two types of set squares are:

1. A 45° set square, which contains angles of 45°, 45°, and 90°.
2. A 30°-60° set square, which contains angles of 30°, 60°, and 90°.

Using these set squares, we can construct combinations of angles such as:

• 90° ± 45° = 135° or 45°
• 90° ± 30° = 120° or 60°
• 90° ± 60° = 150° or 30°
• Other combinations like adding 45° + 30° = 75° or similar.

From the options given: A. 115° - Not constructible using only the provided angles. B. 125° - Not constructible using only the provided angles. C. 135° - Constructible using a 90° angle and a 45° angle together. D. 145° - Not constructible using only the provided angles.

Correct Answer: C. 135°

Would you like an explanation for constructing specific angles using set squares?

Related Questions:

1. What are some other angles that can be constructed using 45° and 30°-60° set squares?
2. Can a set square be used to construct a 75° angle? How?
3. Why are some angles (e.g., 115°) impossible to construct using only set squares?
4. How can you combine set square angles to construct a 90° + 30° + 45° angle?
5. What is the significance of 45° and 30°-60° triangles in geometric construction?

Tip:

When constructing angles, remember that combining basic angles (addition or subtraction) is the key to expanding the possibilities.