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Adjacent angles are those which are next to/part of a line segment. If you have a triangle ABC, it has three angles, A, B and C. Normally you assign the line segments, or sides of the trangles opposite the angles the same letter but in smaller case. So opposite angle A is side a, opposite angle B is side b, etc.
So if you can draw that, you will see that side b will have two adjacent angles, A and C. Angle A wil be opposite of side b.
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