In the given figure AOB is a straight line. $∠ A O C = 3 x, ∠ B O C = 2 x$ . The value of x is

25^{\circ}

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36^{\circ}

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30^{\circ}

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40^{\circ}

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Solution

The correct option is A $36^{\circ}$
$∵$ AOB is a straight line, $∠ A O C = 180^{\circ}$
$∴ 3 x + 2 x = 180^{\circ}$
$\Rightarrow 5 x = 180^{\circ}$
$\Rightarrow x = 36^{\circ}$

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Similar questions

In the given figure, $A O B$ is a straight line. If $∠ A O C = (3 x + 10)^{\circ}$ and $∠ B O C = (4 x - 26)^{\circ}$ , then $∠ B O C = ?$

(a) $96^{\circ}$

(b) $86^{\circ}$

(d) $106^{\circ}$ .

In the given figure, AOB is a straight line. If $∠ A O C = 4 x^{\circ}$ and $∠ B O C = 5 x^{\circ}$ then $∠ A O C = ?$

(a) $40^{\circ}$

(b) $60^{\circ}$

(d) $100^{\circ}$

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