The Fluke 177 has a maximum resolution of 0.1\$\Omega\$, so it's not a meter suitable for a direct measurement of these resistors. In the lowest resistance range it has an accuracy of 0.9% + 2 Digits. So it will have an accuracy which would result in 200% error for the 0.1\$\Omega\$ and 20% error for 1\$\Omega\$.
You can use the approach given by Gregory Kornblum or Bruce. Just be sure not to use too much current as self heating might cause the value to drift (or you could kill the resistor if you go over the top).
There are special low resistance meters - so called Milliohm-Meter, there are some which offer a resolution of 0.01µ\$\Omega\$ (which would be way overkill here).
They internally work on the same principle. They use different constant currents based on the resistance range. For example the Hioki RM3543 would use a 100mA or 1A current to measure a 0.1\$\Omega\$.
They also use 4 wire resistance measurement to cancel out the effect of the measurement leads. Just like in the approach given, 2 wires are connected to the current source and 2 wires are used to sense the voltage directly on the resistor.