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To determine which graph of θ is coterminal with \(-110^\circ\), we first need to understand coterminal angles. Two angles are coterminal if they share the same terminal side when drawn in standard position, which is measured counterclockwise from the positive x-axis.

### Steps:
1. **Find the coterminal angle of \(-110^\circ\):**
   To find a positive coterminal angle, add \(360^\circ\) to \(-110^\circ\):
   \[
   -110^\circ + 360^\circ = 250^\circ
   \]
   So, \(250^\circ\) is coterminal with \(-110^\circ\).

2. **Interpret the graphs:**
   - In standard position, angles measured counterclockwise from the positive x-axis are positive, and those measured clockwise are negative.
   - \(250^\circ\) places the terminal side in the third quadrant (since angles between \(180^\circ\) and \(270^\circ\) are in the third quadrant).

3. **Analyze the options:**
   - **A:** The angle shown is in the first quadrant (70°).
   - **B:** The angle is in the third quadrant, with the terminal side 70° beyond 180°, indicating a total angle of \(250^\circ\).
   - **C:** The angle appears to be in the fourth quadrant.
   - **D:** The angle is in the second quadrant.

Therefore, the correct graph that is coterminal with \(-110^\circ\) is **B** because it shows an angle of \(250^\circ\), which is coterminal with \(-110^\circ\).

Would you like more details on coterminal angles or any other related concept?

Here are 5 related questions for further exploration:
1. How do you calculate a coterminal angle given any angle?
2. What are other examples of coterminal angles for \(-110^\circ\)?
3. How can you use radian measures to find coterminal angles?
4. How does the unit circle help in identifying coterminal angles?
5. Can you find the reference angle for \(-110^\circ\)?

**Tip:** Coterminal angles differ by multiples of \(360^\circ\) (or \(2\pi\) radians). Adding or subtracting this value will yield the same terminal side.

Which graph of θ is coterminal with −110°?

This problem helps students understand how to identify coterminal angles in the coordinate plane. Using the coterminal angle formula, the solution explains why 250° is coterminal with -110° and analyzes the correct graph representation.

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