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Find the values of x in the given figures, $∠$ AOB is a straight line.

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$55^{\circ}$

$75^{\circ}$

$45^{\circ}$

$65^{\circ}$

answer is A.

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Detailed Solution

Given, that AOB is a straight line,
∠AOC+ ∠BOD + ∠COD = 180°

$\Rightarrow$ 65°+ 70° + x° = 180° ... (given)

$\Rightarrow$ 135° + x° = 180°

$\Rightarrow$ x° = 45°

$∴$ Thus, the value of x is $45^{\circ}$ .

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