the pairs of angles formed and its properties when two parallel lines cut by a transversal.
Answers
Answer:
if two parallel lines are cut by a transversal then the alternate interior angle formed are congruent.when two lines are cut by transversal,the pair of angles on either side of the transversal and outside the two lines are called the alternate exterior angles
Properties of angles formed by transversal line with two parallel lines :
• Corresponding angles are congruent. ( Equal in Measure)
• Alternate angles are congruent. ( Interiors & Exterior both )
• Co-Interior angles are supplementary. ( adds up to 180°)
Solution:
Transversal line : A line which passes through two lines in the same plane at two distinct points.
Corresponding angles : A pair of angles that occupy the same relative position at each intersection by a transversal line
Co- Interior angles : A pair of angles that are on the same side of the transversal and inside the given lines
Interior alternate angles : A pair of angles on the inner side of each of those two lines but on opposite sides of the transversal
Exterior alternate angles : A pair of angles on the outer side of each of those two lines but on opposite sides of the transversal
Properties of angles formed by transversal line with two parallel lines :
• Corresponding angles are congruent. ( Equal in Measure)
• Alternate angles are congruent. ( Interiors & Exterior both )
• Co-Interior angles are supplementary. ( adds up to 180°)