In the figure below, a ray OC extends from a point O on a straight line AB. If $∠ A O C = 135^{\circ}$ ,

find $(\frac{∠ B O C}{3})$ .

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Solution

The correct option is C

$∠ A O C + ∠ B O C = 180^{\circ}$ (linear pair of angles)

$∠ A O C = 135^{\circ}$ (given)

$135^{\circ} + ∠ B O C = 180^{\circ}$

$∠ B O C = 180^{\circ} - 135^{\circ}$

$∠ B O C = 45^{\circ}$
$(\frac{∠ B O C}{3}) = 15^{\circ}$

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Similar questions

In the figure below, a ray OC extends from a point O on a straight line AB. If $∠$ AOC = $135^{\circ}$ . Find $(\frac{∠ B O C}{3})$ .

\frac{∠ B O C}{3}

In the figure below, a ray OC extends from a point O on a straight line AB. If $∠$ AOC = $135^{\circ}$ . Find $(\frac{∠ B O C}{3})$ .

In the figure below, a ray OC extends from a point O on a straight line AB. If $∠$ AOC = $135^{\circ}$ , then $(\frac{∠ B O C}{3})$ is equal to :

∠

135^{\circ}

\frac{∠ B O C}{3}

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