Question 153584
As the ratio of the two angles is 1 : 7, we can use x and 7x to represent the two unknown angles.
As the two angles are supplementary, their sum is 180 degrees.
So x + 7x = 180
Solving for x, we have
8x = 180
x = 22.5
So one angle measures 22.5 degrees, another angle measures 7x = 7*22.5 = 157.5 degrees.