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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C

$∠$ AOC + $∠$ BOC = $180^{\circ}$ (linear pair of angles)

$∠$ AOC = $135^{\circ}$ (given)

$135^{\circ}$ + $∠$ BOC = $180^{\circ}$

$∠$ BOC = $180^{\circ}$ - $135^{\circ}$

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

Suggest Corrections

Similar questions

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 :

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 $∠ A O C = 135^{\circ}$ ,

find $(\frac{∠ B O C}{3})$ .

\frac{∠ B O C}{3}

In the figure, ray OC stands on the line AB and $∠ B O C : ∠ A O C = 2 : 7$ . Find the angles $∠ A O C$ and $∠ B O C$ . [3 MARKS]

Join BYJU'S Learning Program