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muminat
3 years ago
8

There is something wrong with this definition for a pair of vertical angles: “If AB and

Mathematics
1 answer:
Oduvanchick [21]3 years ago
8 0

Answer:

If AB and CD intersect at point P such that P is between A and B and is also between C and D, then ∠APC and ∠BPD are a pair of vertical angles.

Step-by-step explanation:

The diagram is a sketch of a counterexample. Notice that ∠APC and ∠BPD are actually the same angles and are not vertical angles.

If P is between A and B and is also between C and D, then ∠APC and ∠BPD are vertical angles. Then the statement can be completed as:

If AB and CD intersect at point P such that P is between A and B and is also between C and D, then ∠APC and ∠BPD are a pair of vertical angles.

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