Question

*How many pairs of corresponding angles are formed when a line intersects two parallel lines?* 1️⃣ 1 2️⃣ 2 3️⃣ 4 4️⃣ 3​

Answer 1

Answer:

See when a line intersects two parallel lines then 8 corresponding angles are formed...

and in 8 corresponding angles = 4 pairs of corresponding angles are formed.

(3) 4 is correct answer...

Hope it will help you!

Answer 2

Solution :-

from image we can see that, a line { transversal t} intersect two parallel lines l and m .

As we can see that, total angles formed between these two parallel lines on transversal are 8 .

Corresponding angles :-

• They are on the same side of transversal .
• They have different vertices .
• They have corresponding positions .
• They are congruent in measure .

So, all pairs of corresponding angles in given image are :-

• ∠1 = ∠5
• ∠3 = ∠7
• ∠2 = ∠6
• ∠4 = ∠8
• Total 4 .

therefore, we can conclude that, Option (3) 4 pairs of corresponding angles are formed when a line intersects two parallel lines .

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