The adjoining figure is a rectangle whose diagonals AC and BD intersect at O. If ∠OAB = 27°, then find ∠OBC.

Question

The adjoining figure is a rectangle whose diagonals AC and BD intersect at O. If $\angle OAB = 27^\circ$ , then find $\angle OBC$ .

🧐 Not the exact question you are looking for?Go ask a question

Solution

In a rectangle, the diagonals are equal in length and bisect each other. This means that they cut each other in half at the point of intersection, which is point O in this case.

Since the diagonals bisect each other, this means that ∠OAB = ∠OBA. Given that ∠OAB = 27°, this means that ∠OBA is also 27°.

In a rectangle, the sum of the angles is 180°. Therefore, ∠OBC = 180° - ∠OBA = 180° - 27° = 153°.

So, ∠OBC = 153°.

This problem has been solved

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.

The adjoining figure is a rectangle whose diagonals AC and BD intersect at O. If ∠OAB = 27°, then find ∠OBC.

Question

The adjoining figure is a rectangle whose diagonals AC and BD intersect at O. If ∠OAB=27∘\angle OAB = 27^\circ∠OAB=27∘, then find ∠OBC\angle OBC∠OBC.

Solution

Similar Questions

Upgrade your grade with Knowee

The adjoining figure is a rectangle whose diagonals AC and BD intersect at O. If $\angle OAB = 27^\circ$ , then find $\angle OBC$ .