Draw adjacent angles. Write the three conditions necessary for angles to be
adjacent
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two angles to be adjacent, the two angles should satisfy these conditions:
- The two angles should have one common arm.
- The two angles should have a common vertex
- The other arms of both angles should be on the opposite side of the common arm.
one more condition:
- The two angles should not have any interior part in common.
[ in the figure, ∠BAC and ∠CAD are adjacent angles
Note: ∠BAD and ∠BAC have a common arm and common vertex, but they are not adjacent angles as they don't meet the third condition. For two angles to be adjacent, they should satisfy all three conditions
If two angle satisfy the first three conditions, then they will surely satisfy the forth one, So, three conditions are enough.
More:
An angle is formed by two rays having comman initial point. Each ray is called Arm of the Angle. The common initial point is called the vertex of the angle.
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