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Question
In the below Fig, ∠AOC and ∠BOC form a linear pair. if a − 2b = 30°, find a and b.
Solution
Given that,
`∠`AOC and `∠`BOC form a linear pair
If a - 2b = 30°
`∠`AOC = a°, `∠`BOC = b°
∴a + b = 180° ..........(i)
Given a - 2b = 30° ............(ii)
By subtracting (i) and (ii)
a + b - a + 2b = 180° - 30°
⇒ 3b = 150°
⇒ b = `(150°)/3`
⇒ b = 50°
Hence a - 2b = 30°
a - 2 (50)° = 30° [∴ b = 50°]
a = 30° +100°
a = 130°
∴ a = 130°, b = 50°
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