If the angles are congruent, they will be less than 360 degrees.
if two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent.
The Vertical Angles Theorem says that a pair of vertical angles are always congruent.
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.
A+
If two angles and a non-included side of one triangle are congruent to the corresponding two angles and side of another triangle, the triangles are congruent by the Angle-Angle-Side (AAS) theorem. This theorem states that if two angles and a corresponding side of one triangle are equal to two angles and the corresponding side of another triangle, then the two triangles are congruent. Thus, the triangles will have the same shape and size.
if two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent.
if two angles are supplements of congruent angles, then the two angles are congruent.
Yes, this is the definition of congruent angles.Yes, this is the definition of congruent angles.Yes, this is the definition of congruent angles.Yes, this is the definition of congruent angles.
The theorem states "If two angles are both supplementary and congruent, then they are right angles."
The Vertical Angles Theorem says that a pair of vertical angles are always congruent.
Yes, because of the base angles theorem converse: If two angles in a triangle are congruent, then the sides opposite the angles are congruent.
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.
It is a theorem, not a postulate, since it is possible to prove it. If two angles and a side of one triangle are congruent to the corresponding angles and side of another triangle then the two triangles are congruent.
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.
The isosceles triangle theorem states that if two sides of a triangle are congruent, the angles opposite of them are congruent. The converse of this theorem states that if two angles of a triangle are congruent, the sides that are opposite of them are congruent.
Vertical angles are always, by definition, congruent. Note: If the two vertical angles are right angles then they are both congruent and supplementary.
two congruent angles that adds up to 180