To find the size and angle of a complex number, here’s an easy way to do it:

1. Identify the Complex Number: Start with your complex number written as $a + bi$. Here, $a$ is the real part, and $b$ is the imaginary part.

2. Calculate the Size: The size (also called the magnitude) $r$ is found using this formula: $r = \sqrt{a^2 + b^2}$ This formula helps you find how far the complex number is from the starting point (or origin) in the complex plane.

3. Find the Angle: The angle (known as the argument) $\theta$ can be found with this formula: $\theta = \tan^{-1}\left(\frac{b}{a}\right)$ Remember to check which quadrant your complex number is in based on whether $a$ and $b$ are positive or negative!

4. Turn it into Polar Form: Now, you can write the complex number in polar form like this: $r(\cos \theta + i \sin \theta)$ or simply as $re^{i\theta}$.

By practicing these steps, it will become easier and feel more natural!