- Example of ratio problem solving 1
- Question:
- The ratio of two supplementary angles is one to five. Find the measure of each angle.

- Solution:
- The measure of the small angle is x
- The measure of the large angle is 5x
- The ratio of the small angle to the large angle is 1 : 5 (note: 1x/5x = 1/5)
- The sum of two supplementary angles is 180
^{o} - so we get the equation:
- x + 5x = 180
^{o} - 6x = 180
^{o} - x = 30
^{o} - 5x = 5(30
^{o}) = 150^{o} - so the small angle is 30
^{o}and the large angle is 150^{o}

What is the definition of the supplementary angles? If two angles are supplementary, then the sum of them is 180^{o}. Since the ratio of the small angle to the
large angle is 1:5. So let the small angle be x, the the large angle will be 5x. Then we get the equation x + 5x = 180^{o}. Combine similar (like) terms,
to get the standard form ax = b, then x = b/a. Check if the result satisfy the equation. If yes, then the result is the solution of given problem.