Finding Missing Angles with Parallel Lines and Transversals

This video tutorial explains how to find missing angles when dealing with a transversal intersecting parallel lines. It covers the concepts of alternate interior angles, corresponding angles, vertical angles, and supplementary angles. The tutorial demonstrates how to use these relationships to calculate unknown angles, starting with given angles and applying congruence and supplementary rules. The video concludes by summarizing the key angle relationships and their applications.

What is a transversal?

• A line that intersects two parallel lines

• A line that is parallel to another line

• A line that forms a right angle

• A line that is perpendicular to another line

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Which of the following is true about vertical angles?

• They are always complementary

• They are always adjacent

• They are always supplementary

• They are always congruent

Tags

CCSS.7.G.B.5

If angle A is 70 degrees, what is the measure of its vertical angle D?

• 180 degrees

• 90 degrees

• 70 degrees

• 110 degrees

Tags

CCSS.7.G.B.5

Which angles are congruent to each other in corresponding angles?

• Angles that are adjacent

• Angles that are on opposite sides of the transversal

• Angles that are on the same side of the transversal

• Angles that are on the same side of the transversal and in corresponding positions

Tags

CCSS.8.G.A.5

If angle A is 70 degrees, what is the measure of the corresponding angle E?

• 110 degrees

• 70 degrees

• 90 degrees

• 180 degrees

Tags

CCSS.8.G.A.5

What is the sum of supplementary angles?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

Tags

CCSS.7.G.B.5

If angle A is 70 degrees, what is the measure of angle B if they form a supplementary angle?

• 180 degrees

• 90 degrees

• 70 degrees

• 110 degrees

Tags

CCSS.7.G.B.5

If angle B is 110 degrees, what is the measure of its vertical angle C?

• 90 degrees

• 180 degrees

• 110 degrees

• 70 degrees

Tags

CCSS.7.G.B.5

Which angles are congruent to each other in vertical angles?

• Angles that are adjacent

• Angles that are on the same side of the transversal

• Angles that are on opposite sides of the transversal

• Angles that are opposite each other when two lines intersect

Tags

CCSS.7.G.B.5

What is the relationship between corresponding angles?

• They are always complementary

• They are always adjacent

• They are always congruent

• They are always supplementary

Tags

CCSS.8.G.A.5