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.
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To show that triangles ABC and DEF are congruent by the AAS (Angle-Angle-Side) theorem, you need to establish that two angles and the non-included side of one triangle are congruent to the corresponding two angles and the non-included side of the other triangle. If you have already shown two angles congruent, you would need to prove that one of the sides opposite one of those angles in triangle ABC is congruent to the corresponding side in triangle DEF. This additional information will complete the criteria for applying the AAS theorem.
If three angles of one triangle are congruent to three angles of another triangle then by the AAA similarity theorem, the two triangles are similar. Actually, you need only two angles of one triangle being congruent to two angle of the second triangle.
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.
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
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