Question 319746
An angle and its supplementary will always add up to 180 degrees.


So if we call this angle x and its supplementary will therefore be 5x (as given), then adding both we get 6x which is 180 degrees.


6X = 180 degrees


Therefore x = 30 degrees.


We can see the supplement of 30 degrees is 150 degrees and 30 is 1/5th of 150.