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Question

In Figure, line l∥m, ∠1=120∘ and ∠2=100∘, find out ∠3 and ∠4.

A
3=80, 4=40
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B

3=80, 4=60
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C
3=40, 4=80
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D
3=60, 4=80
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Solution

The correct option is A ∠3=80∘, ∠4=40∘Given that ∠1=120∘ and ∠2=100∘ ∠1 and ∠5 a linear pair =∠1+∠5=180∘=∠5=180∘−120∘=∠5=60∘ Therefore, ∠5=60∘ ∠2 and ∠6 are corresponding angles =∠2=∠6=100∘ Therefore, ∠6=100∘ ∠6 and ∠3 a linear pair =∠6+∠3=180∘=∠3=180∘−100∘ =∠3=80∘ Therefore, ∠3=80∘ By angles of sum property =∠3+∠5+∠4=180∘ =∠4=180∘−80∘−60∘=∠4=40∘ Therefore, ∠4=40∘

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