You need to drill a hole in wood at an angle (sometimes called a pocket hole). There is a way you can do it without any special tools. You only need a cordless drill and two drill bits of different sizes.
First, let's take a look at the "safe zones" where you'll be able to make this kind of apparatus-free hole:
- Zone 1: Safe - From 0 to 45 degrees you can easily make an angled hole.
- Zone 2: Maybe - Between 45-75 degrees, you can still probably make the hole. It helps if you're working with soft wood.
- Zone 3: No - Past 75 degrees the drill will move around too much.
This is very much a quick-and-dirty method of making angled holes without apparatus. It's not the stuff of fine woodworking. For that, you'll need to invest in a drill press
or a cheaper item called a pocket hole jig