What kind of angle will have a supplement but no complement?

plz help I am so confused.

http://www.softschools.com/math/geometry/topics/supplementary_and_complementary_angles/

any obtuse angle has a supplement (which adds to 180), but not a complement (which is impossible because it is already greater then 90)

thanks bob

To understand the concept of angles that have supplements but no complements, let's first define what supplements and complements are.

- Supplement: In geometry, the supplement of an angle is another angle that, when added to the original angle, results in a sum of 180 degrees. In other words, two angles are considered supplements if their sum is equal to 180 degrees.

- Complement: Similarly, the complement of an angle is another angle that, when added to the original angle, results in a sum of 90 degrees. Two angles are considered complements if their sum is equal to 90 degrees.

Now, let's determine the type of angle that will have a supplement but no complement.

For an angle to have a supplement but no complement, its measurement must be larger than 90 degrees but smaller than 180 degrees.

Angles larger than 90 degrees and smaller than 180 degrees fall into the category of obtuse angles. An obtuse angle measures greater than 90 degrees but less than 180 degrees.

Therefore, an obtuse angle is an example of an angle that will have a supplement (another obtuse angle whose sum is 180 degrees), but it will not have a complement (since its measurement is greater than 90 degrees).

To summarize, an obtuse angle will have a supplement but no complement.