Complementary angles are always cute! By definition, complementary angles are two angles whose measures add up to 90 degrees, and they can often appear in playful or visually appealing combinations, such as in right triangles or architectural designs. The term "cute" is subjective, but many people find the concept of angles adding up to a perfect right angle charming.
Sometimes, because they both have two angles.
Sometimes
sometimes
sometimes
True. Vertical angles are formed by the intersection of two lines and are always equal in measure, while complementary angles are two angles whose measures add up to 90 degrees. Since vertical angles can be any angle measure and are equal, they cannot be complementary unless both angles happen to be 45 degrees, which is not the case in general.
Sometimes, because they both have two angles.
It is always true because two congruent angles that are complementary both measure 45 degrees.
Two angles are complementary when they add up to exactly 90 degrees. An obtuse angle is by definition greater than 90 degrees. Therefore, an obtuse angle cannot have a complementary angle. So an obtuse angle and an acute angle are never complementary.
Sometimes
sometimes... * * * * * No, never. Two angles are complementary angles if their measures sum to 90 degrees. An obtuse angle has a measure in the range (0, 90) degrees so two of them cannot sum to 90 degrees.
sometimes
A rhombus does not have right angles. A square always has right angles.
sometimes
Sometimes
sometimes
True. Vertical angles are formed by the intersection of two lines and are always equal in measure, while complementary angles are two angles whose measures add up to 90 degrees. Since vertical angles can be any angle measure and are equal, they cannot be complementary unless both angles happen to be 45 degrees, which is not the case in general.
Always :P