What are the two positive angles that have a sum of π/2, and what about those that sum to π?

When we consider two positive angles that sum to π/2, they are known as complementary angles. For example, an angle of 30 degrees (or π/6 radians) and an angle of 60 degrees (or π/3 radians) share this property, as their sum is 90 degrees or π/2 radians.

On the other hand, two positive angles that sum to π radians are termed supplementary angles. An example of this would be an angle of 120 degrees (or 2π/3 radians) and an angle of 60 degrees (or π/3 radians), which together equal 180 degrees or π radians.

In summary, while both types of angles are defined by their sums, complementary angles add up to less than half a circle (π/2), while supplementary angles total to half a circle (π).

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