Angles Between Two Lines and a Transversal - Lesson+Exploration+Practice

Explore the app below and learn the special names of the angles formed by two lines

and

, intersected by a transversal

. Drag the green points and explore the special relationship between those angles, when the two lines cut by the transversal are parallel.

Answer the following questions...

Two parallel lines are cut by a transversal. An alternate interior angle of a pair measures 45°. What is the measure of the other alternate interior angle of the pair?

135° any value between 0° and 180° 45° 54°

Two lines are cut by a transversal. One of the two corresponding angles of a pair measures 59°. What is the measure of the other corresponding angle of the pair?

it's 59° only if the two lines are parallel it's always 121° it's 121° only if the two lines are parallel it's always 59°

Two parallel lines are cut by a transversal, and form a pair of same-side interior angles,

and

. We know that

. What are the measures of

and

respectively?

insufficient data to determine the measures of the angles 105°, 75° 75°, 105° 72°, 108° 108°, 72°

Information: Angles Between Two Lines and a Transversal - Lesson+Exploration+Practice