What are complementary and supplementary angles

What are complementary and supplementary angles

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains complementary and supplementary angles, starting with the definitions of right and straight angles. It covers how complementary angles add up to 90 degrees and supplementary angles add up to 180 degrees. The tutorial also discusses the conversion of these angles into radians for trigonometry, with 90 degrees equating to pi/2 and 180 degrees to pi. Equations are provided to find complementary and supplementary angles, and limitations are discussed, such as when angles exceed 90 or 180 degrees, making it impossible to find complementary or supplementary angles.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sum of two complementary angles?

360 degrees

270 degrees

180 degrees

90 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is the radian equivalent of 180 degrees?

pi

3pi/2

pi/2

2pi

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If an angle measures 60 degrees, what is its complementary angle?

90 degrees

150 degrees

30 degrees

120 degrees

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens if an angle is greater than 180 degrees?

It is a right angle

It has neither a complementary nor a supplementary angle

It has a complementary angle

It has a supplementary angle

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why are negative angles not considered in the definition of complementary and supplementary angles?

They do not fit the definition of adding up to 90 or 180 degrees

They are only used in trigonometry

They are too complex to calculate

They are not used in geometry