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If the lines are perpendicular, which is to say, intersect at right angles, then all four angles are congruent, since they will all be 90o. If the intersection is not perpendicular, then there are two sets of congruent angles. Opposite angles will be equal. That is to say, if you imagine the angles forming at more or less the cardinal points of the compass, the north and south angles will be equal, and the east and west angles will be equal.

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Q: How many congruent angles do two intersecting lines form?
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