They can be but not always because supplementary angles add up to 180 degrees.
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.
Vertical angles are always, by definition, congruent. Note: If the two vertical angles are right angles then they are both congruent and supplementary.
No, a pair of angles that are supplementary will always have a sum of 180 degrees, while a pair of angles that are congruent will have the same measure. Therefore, it is not possible for a pair of angles to be both supplementary and congruent.
supplementary angles are equal to 180 degrees. so two congruent(same) angles would be 90 degrees!
Angles that are congruent and supplementary must be right angles.
Supplementary Congruency Theorem
Right angles
Right angles.
if two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent.
That two of the Angles are Supplementary and two of the Angles are congruent.
They are congruent angles
No, congruent supplementary angles do not each measure 90 degrees. Supplementary angles are defined as two angles whose measures add up to 180 degrees. If two angles are congruent and supplementary, they would each measure 90 degrees, but this is a specific case rather than a general rule. In general, congruent supplementary angles can have any measure that adds up to 180 degrees, as long as they are equal.
A trapezoid.