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Geometry relates to CBSE - Class 9/Mathematics

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Answered on 16/09/2024 Learn CBSE - Class 9/Mathematics/Geometry/Triangles

Debojit Sarkar

Be the better version of yourself

Let ∠C= x°, ∴ ∠B - x°=18° ⇒ ∠B = 18°+x° ......(i) Again, ∠A - (18°+x°)= 33° ⇒∠A = 33°+18°+x° ......(ii) And ∠A+∠B+∠C =180° ⇒51°+18°+3x°=180° ⇒3x°=(180°-69°) ⇒x°=37° ∴... read more

Let ∠C= x°,

∴ ∠B - x°=18°

⇒ ∠B = 18°+x°  ......(i)

Again, ∠A - (18°+x°)= 33°

⇒∠A = 33°+18°+x° ......(ii) 

And ∠A+∠B+∠C =180°

⇒51°+18°+3x°=180°

⇒3x°=(180°-69°)

⇒x°=37°

∴ ∠C=37°, ∠B= (37+18)=55°, ∠A=(55+33)= 88° [Ans.]

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Answered on 15/09/2024 Learn CBSE - Class 9/Mathematics/Geometry/Triangles

Debojit Sarkar

Be the better version of yourself

Diagonals of a rectangle bisect each other and they are equal in length ∴Δ AOB will be an isosceles triangle with AO=BO In ΔAOB, ∠AOB = ∠COD ............. ∠OAB=∠OBA ................ ∴∠AOB +2∠OAB = 180° ⇒ 78º + 2∠OAB = 180° ⇒... read more

Diagonals of a rectangle bisect each other and they are equal in length

∴Δ AOB will be an isosceles triangle with AO=BO

In ΔAOB,

∠AOB = ∠COD .............[ Vertically opposite angles]

∠OAB=∠OBA ................[ Angle opposite to equal sides]

∴∠AOB +2∠OAB = 180°

⇒ 78º + 2∠OAB = 180°

⇒ ∠OAB = 51° [ Ans.]

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Answered on 15/09/2024 Learn CBSE - Class 9/Mathematics/Geometry/Triangles

Debojit Sarkar

Be the better version of yourself

Let the smaller angle is x°, the larger angle will be 2x°, ∴ 3x°= 180° ⇒x° = 60° ∴ smaller angle is 60° and larger angle is 120°
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