Question

# Explain the different properties of lines and angles.

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Solution

## I. Lines and Angles Given two parallel lines, 1) Corresponding angles =∠1 and ∠3 are equal. ∠2 and ∠4 ∠6 and ∠8 ∠5 and ∠7 i.e. ∠1=∠3.∠2=∠4 and so on. II) Alternate interior ∠8=∠6 and ∠4 are equal. ∠5 and ∠3 i.e. ∠6=∠4 and ∠5=∠3 3) Alternate angles on same side of the transversal sum upto 180^\circ i.e. ∠5+∠4=180∘ ∠6+∠3=180∘ 4) Vertically opposite ∠ s are also equal i.e. ∠2=∠6,∠1=∠5 and so on II Sum of angles of a triangle is 180∘ ∠1+∠2+∠3=180∘ III Exterior angle property →[∠4=∠1+∠2]

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