Exploring Complementary Angles and Their Relationships

What is the sum of complementary angles?

• 180 degrees

• 45 degrees

• 90 degrees

• 60 degrees

What defines complementary angles?

• Two angles whose sum is 90 degrees

• Any two acute angles

• Two angles adjacent to each other

• Two angles whose sum is 180 degrees

What is the complement of a 30 degree angle?

• 45 degrees

• 90 degrees

• 30 degrees

• 60 degrees

Are adjacent angles always complementary?

• Yes, if they add up to 90 degrees

• No, they can never be complementary

• No, only if they are acute angles

• Yes, regardless of their sum

Can complementary angles be non-adjacent?

• No, they must share a vertex

• Yes, if their sum is 90 degrees

• Yes, but only if they are right angles

• No, they must be acute angles

Why can't obtuse angles be complementary?

• Because they are not adjacent

• Because they can only form right angles

• Because their sum exceeds 90 degrees

• Because they are less than 90 degrees

Can obtuse angles be complementary?

• Yes, if they are adjacent

• No, because they are over 90 degrees

• Yes, always

• No, unless they are exactly 90 degrees

Can three angles be considered complementary if their sum is 90 degrees?

• Yes, if they are all acute angles

• No, unless one of them is a right angle

• Yes, always

• No, only two angles can be complementary

How do you find the missing complementary angle when one angle is 15 degrees?

• Subtract 15 from 90

• Add 15 to 75

• Divide 90 by 15

• Subtract 15 from 180

What is the complement of 54.6 degrees?

• 34.4 degrees

• 45.6 degrees

• 36.4 degrees

• 35.4 degrees