When I was a little kid one of the first household tasks I learned was how to iron my dad's white shirts. It took me (age 9) about fifteen minutes a shirt, so adults can definitely do it faster than that. You can do it while watching TV, talking on the phone handsfree, or talking with your family right in the same room.
I don't wear dressy clothes so it's been years since I ironed, but I could still do it half-asleep. Please learn this basic personal maintenance skill. It's a clean, nice-smelling, peaceful little task and one I miss, now that i think about it. Better yet, teach one of your kids.