Question

The ratio of the same side angles of two parallel lines is 1:14. Find all angles.

Answer 1

The angles that lie at the same side of parallel lines are known to be always supplement of each other. This means that when we add them together, the value is 180°. If we let x be the common factor for the measures of the angle, the equation that we could use to determine the answer is,
 
                x + 14x = 180°

The value of x from the equation is 12. Hence, the angles are,
       
              x = 12
            14(12) = 168

Answer: 12° and 168°