Write True or False: 1. The number of sides of a polygon is always equal to the number of its angles. 2. Any polygon must have at least 3 sides. 3. The value of sin θ can never be greater than 1.

Here are the solutions to your questions:

Part 1: Write True or False

1. The number of sides of a polygon is always equal to the number of its angles.

   • True. By definition, a polygon has an equal number of sides, vertices, and angles.

2. Any polygon must have at least 3 sides.

   • True. A polygon is a closed figure formed by straight line segments. The minimum number of segments required to form a closed figure is three (a triangle).

3. The value of $\sin \theta$ can never be greater than 1.

   • True. For any real angle $\theta$, the range of the sine function is $[-1, 1]$.