They can be but not always because supplementary angles add up to 180 degrees.
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The theorem states "If two angles are both supplementary and congruent, then they are right angles."
Not always. If two angles are congruent then they simply have equal measure. They must only be right angles if they are supplementary, that is, they must both add up to 180 degrees.
45° and 45°. Maybe the other way around.
Not true. If the associated central angles are equal, the two chords would be equal.
Two angles are said to be congruent if they are equal.