Question

*How many pairs of corresponding angles are formed due to transverasl of two parallel lines ?* 1️⃣ One 2️⃣ Two 3️⃣ Four 4️⃣ Eight​

Answer 1

Correct option:

4. Eight

Explanation:

When a transversal intersects with two parallel lines eight angles are produced. The eight angles will together form four pairs of corresponding angles.

Answer 2

Given : corresponding angles are formed due to transversal of two parallel lines

To Find : How many pairs

1️⃣ One 2️⃣ Two 3️⃣ Four 4️⃣ Eight​

Solution:

If two parallel lines are intersected by a transversal, then corresponding angles are congruent.

Refer the attached figure

p ||  q

and r is transversal

From the figure

∠1 ≅ ∠ 5      pair of corresponding angles

∠2 ≅ ∠ 6      pair of corresponding angles

∠3 ≅ ∠ 7      pair of corresponding angles

∠4 ≅ ∠ 8      pair of corresponding angles

Hence in total 4 pairs of corresponding angles are formed due to transversal of two parallel lines

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