If a transversal intersects two parallel lines then, which of the following statements are true?
please answer the questions
Answers
Given : a transversal intersects two parallel lines
To Find :which of the following statements are true
A. Each pair of corresponding angles is equal.
B. Each pair of alternate interior angles is equal.
C. Each pair of interior angles on the same side of the transversal is supplementary.
D. All statements are true.
Solution:
Properties of angles formed by transversal line with two parallel lines :
• Corresponding angles are congruent.
Hence Each pair of corresponding angles is equal.
• Alternate angles are congruent. ( Interiors & Exterior both )
Hence Each pair of alternate interior angles is equal.
• Interior angles are supplementary. ( adds up to 180°)
Each pair of interior angles on the same side of the transversal is supplementary.
Hence All given statements are true
Option D - All statements are true.
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