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The blank in this question is asking for **coterminal angles**. 

In mathematics, **coterminal angles** are angles that share the same initial and terminal sides but differ by a multiple of \(360^\circ\). In this case, \(\theta + n \times 360^\circ\) represents angles that are coterminal to \(\theta\), where \(n \in \mathbb{Z}\) (an integer). Coterminal angles can be found by adding or subtracting multiples of \(360^\circ\) (for degrees) or \(2\pi\) (for radians) from the original angle.

Would you like more details on coterminal angles or how to calculate them?

Here are some related questions:
1. How do you find coterminal angles of a given angle?
2. What is the difference between positive and negative coterminal angles?
3. Can two angles be coterminal if their measures are different?
4. How are coterminal angles applied in trigonometry?
5. What are coterminal angles in radians, and how are they calculated?

**Tip**: To find the smallest positive coterminal angle, keep adding \(360^\circ\) until the result is positive if the given angle is negative.

If θ is the measure of a directed angle in the standard position and n ∈ Z, then (θ + n × 360°) is called __________ angles.

This page explains coterminal angles, angles that share the same initial and terminal sides but differ by a multiple of 360°. Learn how to calculate coterminal angles using the formula θ + n × 360° and explore their applications in geometry and trigonometry. Suitable for students in Grades 9-12.

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