Question

In the given figure, are the following adjacent angles?
a) ∠ AOB and ∠ BOC
b) ∠BOD and ∠ BOC
Justify your answer.

Answer 1

Step-by-step explanation:

(a) \angle AOB and \angle BOC are adjacent angles as they have common vertex and share a common arm.

(b) \angle BOD and \angle BOC are not adjacent angles as \angle BOC is contained in \angle BOD.

Answer 2

Given :  figure

To Find :  adjacent angles?

a) ∠ AOB and ∠ BOC

b) ∠BOD and ∠ BOC

Solution:

Angles that have a common vertex and a common side (arm )  are called adjacent angles.

The angles must not overlap.

∠ AOB and ∠ BOC

Has common vertex O  and common side (arm)   OB

Hence ∠ AOB and ∠ BOC are adjacent angles

∠BOD and ∠ BOC

are overlapping angles Hence not adjacent angle

∠ AOB and ∠ BOC are adjacent angles

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