ABCD is a quadrilateral.AO And BO are the angle bisectors of angle A And B which meet at O.IF angle C=70°,angle D=50°,find angle A

2 thoughts on “ABCD is a quadrilateral.AO And BO are the angle bisectors of angle A And B which meet at O.IF angle C=70°,angle D=50°,find angle A”

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   ABCD is a quadrilateral. AO And BO are the angle bisectors of angle A and B which meet at O. If angle C=70°, angle D=50°, find angle AOB.

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   ĞIVĔN:–

   ● ABCD is a quadrilateral

   ● AO And BO are the angle bisectors of angle A and B which meet at O

   ● ∠C = 70° and ∠D = 50°

   TØ FINĐ:–

   ● ∠AOB

   ŠØLUŤION:–

   ∠A + ∠B + ∠C + ∠D = 360°

   let ∠A and ∠B be x

   so,

   ⇒ x + x + 70° + 50° = 360°

   ⇒ 2x + 120° = 360°

   ⇒ 2x = 360 – 120

   ⇒ x = 240/2

   ⇒ x = 120°

   AO And BO are the angle bisectors of angle A and B

   so,

   ∠A = 120/2 = 60°

   ∠B = 120/2 = 60°

   Now,

   In triangle AOB,

   ⇒ ∠AOB + ∠OAB + ∠OBA = 180°

   ⇒ ∠AOB + 60° + 60° = 180°

   ⇒ ∠AOB + 120° = 180°

   ⇒ ∠AOB = 180 – 120

   ⇒ ∠AOB = 60°

   Hence, ∠AOB = 60°

   #NAWABZAADI

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2. Answer:

   We have, ABCD is a quadrilateral. Given that, C = 70^o, D = 50^o So, A + B + C + D = 360^o ( A + B ) = 360^o – ( C + D ) ( A + B ) = 360^o – …

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