Newby can't push/pull to exit an angled face

Newby here, so I apologize in advance for my novice question. I did search for other posts, but didn’t find what I’m looking for.

I used the push/pull tool to remove a circular hole on a side face, for a dowel go go through, and it pushed out the other end nicely, because the opposite face is parallel to the front face. Here’s a screenshot:

However, when I attempt to do the same, but coming down from the top of the piece, because the exit points aren’t on a parallel face, but an angled face, the exit points don’t create a hollow hole, but it protrudes out, like you’ll see in the above screenshot.

I would be grateful for a dumbed-down explanation on how to get the holes to go all the way from top to bottom coming out of the angled face. Thanks!

That’s normal behavior for Push/Pull. After extruding the holes through the angled face as you have, select the geometry of the whole thing, right click on it and choose Intersect Faces. Then erase the blue part of the extended hole as well as the face skinning it on the bottom angled face.

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A bit more detail on what Dave has said.
You need to create the edges at the point where the ‘tube’ passes through the angled face. To do this you use the ‘Intersect faces with …’ option. Which of the intersect with options you choose can vary depending on what you are intersecting with.
In your case it is pretty straightforward. It is all loose geometry in the same context so you can simply select it all and Intersect Faces with Selection. and the edges will be created where you need them.
But just to further your understanding of what is happen, in the gif I Undo that and then just select the angled face and use Intersect Faces with Model and the same edges are created.
You will start to find uses for this as you learn more.
GIF 20-03-2024 11-01-09 AM

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Wow! Thank you so much DaveR and Box! I don’t know how I every would have figured that out without your help.

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