For spreading the message 'Save Environment Save Future' -Maths 9th

For spreading the message 'Save Environment Save Future' -Maths 9th
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Answer :

In   △ABC,  we have ∠A + ∠B + ∠C = 180°    (Since, sum of the angles of a △ is  180°) ⇒ 1/2∠A + 1/2∠B + 1/2∠C = 180°/2 ⇒ 1/2∠A + ∠1 + ∠2 = 90° ∴    ∠1 + ∠2 = 90° - 1/2∠A         …..(i) Now, in △OBC,  we have:  ⇒ ∠1 + ∠2 + ∠BOC  =  180°   [ Since,sum of the angles of  △ is  180°) ⇒ ∠BOC  =  180° - (∠1 + ∠2) ⇒ ∠BOC   = 180° - (90° - 1/2∠A)        [ using (i) ] ⇒ ∠BOC   = 180° - 90° + 1/2∠A ∴          ∠BOC   = 90° + 1/2∠A Environmental care, social, futuristic.
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