how many pairs of corresponding angles are formed formed if two parallel lines are intersected by a transversal ?
Answers
Answer:
When a transversal intersects with two parallel lines eight angles are produced. The eight angles will together form four pairs of corresponding angles.
Given : corresponding angles are formed due to transversal of two parallel lines
To Find : How many pairs of corresponding angles are formed
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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