Prove that sum of three angles in a triange is 180°. Hence find the unknown value of ne from the given figure​

Question

Prove that sum of three angles in a
triange is 180°. Hence find the unknown
value of ne from the given figure​

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Melanie 4 weeks 2021-08-17T04:59:40+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-08-17T05:01:11+00:00

    Given :
    A triangle ABC.
    To prove :
    ∠A+∠B+∠C=180
    o
    ⟹∠1+∠2+∠3=180
    o

    Construction :
    Through A, draw a line l parallel to BC.
    Proof :
    Since l∥BC. Therefore,
    ∠2=∠4 …….eq(i)
    And, ∠3=∠5……eq(ii)
    adding eq(i)and(ii)
    Therefore, ∠2+∠3=∠4+∠5
    ∠1+∠2+∠3=∠1+∠4+∠5 [adding∠1bothSide]
    ∠1+∠2+∠3=180
    o

    Thus, the sum of three angles of a triangle is 180
    o
    .
    solution

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