Complementary and Supplementary Angles

This video tutorial covers the final part of the first unit in geometry, focusing on pairs of angles. It explains the difference between complementary and supplementary angles, provides example problems, and introduces vocabulary such as adjacent angles, linear pairs, and vertical angles. The video concludes with a summary and encourages viewers to engage further with the content.

What is the focus of this video tutorial?

• Calculus derivatives

• Pairs of angles

• Algebraic equations

• Trigonometric functions

What is the sum of the measures of complementary angles?

• 180 degrees

• 90 degrees

• 360 degrees

• 45 degrees

What is the sum of the measures of supplementary angles?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

Which of the following pairs of angles are complementary?

• Angles measuring 30 and 60 degrees

• Angles measuring 90 and 90 degrees

• Angles measuring 45 and 45 degrees

• Angles measuring 60 and 120 degrees

If angle A is 36 degrees, what is the measure of its complement?

• 54 degrees

• 144 degrees

• 36 degrees

• 90 degrees

If angle C is a supplement of angle D and angle D is 117 degrees, what is the measure of angle C?

• 180 degrees

• 117 degrees

• 90 degrees

• 63 degrees

What defines adjacent angles?

• Angles that are equal in measure

• Angles that sum to 180 degrees

• Angles that share a common vertex and side

• Angles that are opposite each other

What is a linear pair of angles?

• Two angles that are vertical

• Two angles that are equal

• Two angles that are complementary

• Two angles that form a straight line

What are vertical angles?

• Angles that form a linear pair

• Angles that are adjacent

• Angles that are opposite each other when two lines intersect

• Angles that are supplementary

Which of the following is a pair of vertical angles?

• Angles 3 and 4

• Angles 4 and 5

• Angles 1 and 5

• Angles 1 and 2