Hello,
yes 80+ is too hot for sure.
steps to keep it down:
1. lower screen brightness
2. blow out all the dust
3. make sure fans are working
4. make sure ambient temperature is not 30C
5. get a laptop cooler
now the targus lap chill mat, I like the fact that there's literally empty space, that is very nice for air circulation. I can't tell what kind of fan they are using there or what kind of opening. It could be pretty good, although could be noisy as well.
The best design I've seen so far is this one:
Antec Classic
Regardless of cooler model don't expect it to do miracles. Laptop coolers only provide supplemental air circulation, but if the cooling system itself isn't sufficient, laptop cooler will only help with slowing down the heat buildup, not solve it. For most applications you will see something about 5-10 degree drop in temperatures at best if any at all.
Again, if your laptop cooling system cannot cope with heat dissipation laptop cooler will only slow the process down. So basically if before you got to 80+ in 30 mins of operating under load, then with laptop cooler you might get there in 1 hr. But you will still hit those temperature peaks. Unless of course it's border line and 5-10 degrees will make a difference of being able to run things or having to deal with BSOD/system shutdown due to heat.
if you are using your computer for gaming or other full screen applications look to reduce load:
1. lower the resolution
2. turn off AA/AF or any other post processing
3. lower graphics detail
4. check your GPU settings and turn off scaling (I know nVidia has this issue where it automatically scales to native resolution, when the output resolution is lower, that puts additional strain on GPU to scale the output)