Yes, an angle and its supplement can be congruent, but only if the angle measures 90 degrees. In this case, both the angle and its supplement would be 90 degrees, making them congruent. For any angle other than 90 degrees, the angle and its supplement will always have different measures.
The Congruent Supplement Theorem states that if two angles are supplementary to the same angle (or to congruent angles), then those two angles are congruent to each other. In other words, if angle A and angle B are both supplementary to angle C, then angle A is congruent to angle B. This theorem is useful in proving relationships between angles in geometric proofs.
if two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent.
The angle is 60°. Its supplement is 120°.
Only if the congruent angle is the angle between the two congruent sides (SAS postulate).
No, because they need not be congruent.
Yes, they are.
The Congruent Supplement Theorem states that if two angles are supplementary to the same angle (or to congruent angles), then those two angles are congruent to each other. In other words, if angle A and angle B are both supplementary to angle C, then angle A is congruent to angle B. This theorem is useful in proving relationships between angles in geometric proofs.
Supplementary Congruency Theorem
if two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent.
angle B and angle D are supplements, angle B is congruent to angle D, angle A is congruent to angle A, or angle A is congruent to angle C
The transitive property is if angle A is congruent to angle B and angle B is congruent to angle C, then angle A is congruent to angle C.
HPE is an angle congruent to angle HRN.
TBP an angle congruent to angle PTB.
The Symmetric Property of Congruence: If angle A is congruent to angle B, then angle B is congruent to angle A. If X is congruent to Y then Y is congruent to X.
The angle is 60°. Its supplement is 120°.
A congruent angle can also mean equal angle. So there is no set measurement of a congruent angle. Just the same as the angle it is equal to.
Only if the congruent angle is the angle between the two congruent sides (SAS postulate).