Parallel Lines Cut by a Transversal & Angle Relationships!

What is a characteristic of parallel lines?

• They always intersect at a right angle

• They intersect at exactly one point

• They never intersect

• They form a grid system

In geometry, what is a transversal?

• A line that is perpendicular to another line

• A line that intersects two or more parallel lines

• A line that forms a right angle with another line

• A line that never intersects another line

When two parallel lines are intersected by a transversal, what is the relationship between corresponding angles?

• They are always supplementary

• They are always complementary

• They are always congruent

• They are always acute

What is the sum of the measures of two angles that form a linear pair?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

If two parallel lines are cut by a transversal, and one of the acute angles formed measures 30 degrees, what is the measure of an adjacent obtuse angle?

• 30

• 60

• 90

• 150

In the 'X's and O's Mindset' for parallel lines cut by a transversal, if 'X' represents an acute angle and 'O' represents an obtuse angle, what is the sum of an X angle and an O angle?

• 90

• 180

• 270

• 360

Two parallel lines are intersected by a transversal. An obtuse angle is represented by (2x + 26)° and another obtuse angle is represented by (x + 32)°. What is the value of x?

• 6

• 12

• 18

• 24