Answer: [tex]6x=180[/tex]
Step-by-step explanation:
Given : One of two supplementary angles is five times the other.
Let x be one of the angles ( in degrees) such that the other angles will be 5x.
We know that the supplementary angles are added up to 180 degrees.
Therefore, we have
[tex]x+5x=180\\\\\Rightarrow\ 6x=180[/tex]
Hence, the equation can be used to solve for the smallest angle=[tex]6x=180[/tex]