8 Lesson 30: Solving for Missing Transversal Angles

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

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

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

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

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.

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

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

Angle 1 and angle 2 add up to 180 degrees.

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

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