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.
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?
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?
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]We know that [math]\alpha-\frac{2}{3}\beta=0[/math].[br]What are the measures of [math]\alpha[/math]and [math]\beta[/math]respectively?