In all ......... angles are formed by a transversal of two lines. - Fill in the blank.
Answers
Hey there !
In all 8 angles are formed by a transversal .
When a line is drawn intersecting two parallel lines in two distinct points , then the line is called Transversal .
Parallel lines are the lines which never meet . The distance between them is always constant.
Lets consider two parallel lines l & m .
Let n be a line which intersects the parallel lines in two distinct points A & B .
At A , There will be four angles formed .And At B , Four angles are formed .
When a Transversal intersects two lines , The Alternate angles and corresponding angles are equal .
Dear student,
A transversal formed In all 8 angles.
Look at the attachment for all these angles.
In diagram you can check these are mentioned as ∠1 to ∠8.
Extra information: following pair of angles are formed by a transversal.
→ Pair of corresponding angles :
(i) ∠1 and ∠5
(ii) ∠2 and ∠6
(iii) ∠4 and ∠8
(iv) ∠3 and ∠7
→ Pair of Alternate interior angles
(i) ∠4 and ∠6
(ii) ∠3 and ∠5
→ Pair of Alternate exterior angles
(i) ∠1 and ∠7
(ii) ∠2 and ∠8
→ Pair of interior angles on the same side of the transversal:
(i) ∠4 and ∠5
(ii) ∠3 and ∠6
Hope it helps you.
