Exploring Linear Pairs and Vertical Angles

Mr. Dallas explains linear pairs and vertical angles, focusing on their definitions, properties, and examples. Linear pairs are adjacent angles that form a line, summing to 180 degrees, while vertical angles are opposite angles formed when two lines intersect, and they are congruent. The video includes problem-solving examples to reinforce these concepts.

What is a linear pair?

• Two angles that are equal

• Two angles that add up to 90 degrees

• Two angles that are opposite each other

• Two adjacent angles that form a line

If two angles form a linear pair, what is their sum?

• 90 degrees

• 180 degrees

• 45 degrees

• 360 degrees

How do you find the measure of an unknown angle in a linear pair if one angle is 123 degrees?

• Divide 123 by 2

• Add 123 to 180

• Subtract 123 from 180

• Subtract 123 from 360

What type of angles do linear pairs form?

• Straight angles

• Obtuse angles

• Acute angles

• Right angles

How many linear pairs are formed when two lines intersect?

• 3

• 5

• 4

• 2

What is the sum of the angles in a linear pair?

• 360 degrees

• 90 degrees

• 270 degrees

• 180 degrees

What are vertical angles?

• Angles that form a straight line

• Angles that add up to 90 degrees

• Angles that are opposite each other when two lines cross

• Angles that are adjacent to each other

What is true about vertical angles?

• They are always acute

• They are always obtuse

• They are congruent

• They are supplementary

If one vertical angle is 53 degrees, what is the measure of the opposite vertical angle?

• 90 degrees

• 180 degrees

• 53 degrees

• 127 degrees

If two angles are vertical angles and one is 70 degrees, what is the measure of the other angle?

• 70 degrees

• 110 degrees

• 90 degrees

• 180 degrees