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In the Given Below Fig, Find X. Further Find ∠Boc, ∠Cod and ∠Aod . - Mathematics

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In the given below Fig, find x. Further find ∠BOC, ∠COD and ∠AOD .

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Solution

Since `∠`AOD and `∠`BOD are form a line pair

`∠`AOD + `∠`BOD = 180°

`∠`AOD + `∠`COD + `∠`BOC = 180°

Given that

`∠`AOD = ( x +10)°, `∠`COD = x°, `∠`BOC = ( x + 20)°

 ( x +10)° + x° + ( x + 20)° = 180°

 3x + 30° = 180°

 ⇒ 3x = 180° - 30°

⇒ 3x = 150°

⇒ x = 50°

∴`∠`AOD = x +10°

= 50° +10° = 60°

`∠`COD = x° = 50°

`∠`BOC = x + 20° = 50 + 20 = 70°

Concept: Pairs of Angles
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Exercise 10.2 | Q 3 | Page 14

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