Copy of 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 [math]AB[/math] and [math]CD[/math], intersected by a transversal [math]EF[/math].[br][br]Drag the[b] [i][color=#6aa84f]green points[/color][/i][/b] 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°.[br]What is the measure of the other alternate interior angle of the pair?

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

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

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

Two parallel lines are cut by a transversal, and form a pair of same-side interior angles, [math]\alpha[/math] and [math]\beta[/math].[br]What are the measures of [math]\alpha[/math]and [math]\beta[/math]respectively?

100°, 72° 105°, 65° insufficient data to determine the measures of the angles 75°, 75° 72°, 108°

Refer to the diagram. Which of the following is a pair of alternate exterior angles?

2 and 6 2 and 3 2 and 7 2 and 8

– Amy Longo, Simona Riva

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