$∠ 1$ and $∠ 2$ are adjacent angles.
It is given that $∠ A O B = 140^{o}$ . What is value of $∠ 1 + ∠ 2$ .

210^{o}

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220^{o}

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230^{o}

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240^{o}

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Solution

The correct option is B $220^{o}$
$∠ A O B + ∠ A O C + ∠ C O B = 360^{o}$ (complete angle)
$∵ ∠ A O B = 140^{o}$ (given)
$∴ ∠ A O B + ∠ A O C = 360^{o} - 140^{o}$
$∠ 1 + ∠ 2 = 220^{o}$

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Similar questions

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Q. If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect at a point O such that

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∠1 and ∠2 are adjacent angles.It is given that ∠AOB=140o. What is value of ∠1+∠2.

The correct option is B 220o∠AOB+∠AOC+∠COB=360o (complete angle)∵∠AOB=140o (given)∴∠AOB+∠AOC=360o−140o∠1+∠2=220o

$∠ 1$ and $∠ 2$ are adjacent angles.
It is given that $∠ A O B = 140^{o}$ . What is value of $∠ 1 + ∠ 2$ .

The correct option is B $220^{o}$
$∠ A O B + ∠ A O C + ∠ C O B = 360^{o}$ (complete angle)
$∵ ∠ A O B = 140^{o}$ (given)
$∴ ∠ A O B + ∠ A O C = 360^{o} - 140^{o}$
$∠ 1 + ∠ 2 = 220^{o}$