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Which angles are adjacent angles?

Which angles are adjacent angles?-example-1

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two angles are adjacent if they have a common side and a common vertex. In other words, adjacent angles are directly next to each other and do not overlap.
User Agendum
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∠KLN and ∠MLN for adjacent angles with vertex L and common arm LN.

How to determine adjacent angles.

Adjacent angles are two angles that share a common arm (side) and a common vertex, yet do not overlap. In other words, they are side by side and do not share any interior points.

From the given options

∠KLN and ∠MLN have common arm LN and share the same vertex at L, so they are adjacent angles.

∠KLN and ∠HIL have different vertices at L and I respectively. so, they are not adjacent.

∠KLN and ∠HIG have different vertices at L and I. They are not adjacent angles.

∠KLN and ∠MLI have same vertex at L but different arms. ∠KLN has arm LN and ∠MLI has arm LI. so, they are not adjacent angles rather they are vertical angles.

Therefore, ∠KLN and ∠MLN for adjacent angles with vertex L and common arm LN.

User Rolice
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