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Angles that are congruent and supplementary must be right angles.
No. All linear pair angles are supplementary, but supplementary angles do not have to be a linear pair.
congruent
All supplementary angles do not form a linear pair. The opposite angles of any quadrilateral inscribed in a circle (a cyclic quadrilateral) are supplementary but they are not a linear pair. However, all linear pair are supplementary.
They are supplementary
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Angles that are congruent and supplementary must be right angles.
They are congruent angles
Vertical angles are always, by definition, congruent. Note: If the two vertical angles are right angles then they are both congruent and supplementary.
No. All linear pair angles are supplementary, but supplementary angles do not have to be a linear pair.
congruent
A+
All supplementary angles do not form a linear pair. The opposite angles of any quadrilateral inscribed in a circle (a cyclic quadrilateral) are supplementary but they are not a linear pair. However, all linear pair are supplementary.
They can be but not always because supplementary angles add up to 180 degrees.
Give us a break! -- A 3° angle is congruent to another 3° angle, but their sum is only 6° , not 180°. -- Congruent angles are always equal, but supplementary angles don't have to be equal.
Supplementary Congruency Theorem