8 Lesson 30: Solving for Missing Transversal Angles

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie between two parallel lines and on opposite sides of a transversal. They are equal.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on two parallel lines in relation to a transversal. They are equal.

Front

What is the relationship between parallel lines and transversals?

Back

When a transversal crosses parallel lines, it creates several pairs of equal angles, including alternate interior angles, corresponding angles, and vertical angles.

Front

How do you find the value of x when given angle measures?

Back

Set up an equation based on the relationships between the angles (e.g., equal angles for vertical angles, or supplementary angles for linear pairs) and solve for x.

Front

If angle 4 is 70 degrees, what is the measure of angle 6 if lines are parallel?

Back

Angle 6 is also 70 degrees because they are corresponding angles.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

If angle 1 and angle 2 are supplementary, what is the relationship between them?

Back

Angle 1 and angle 2 add up to 180 degrees.

Front

What is the measure of angle 5 if angle 3 is 50 degrees and lines are parallel?

Back

Angle 5 is 130 degrees because angle 3 and angle 5 are supplementary.

Front

What type of angle pair are angle 2 and angle 8 if lines are parallel?

Back

Angle 2 and angle 8 are alternate exterior angles and are equal.