whats the difference between definition of supplementary angles and congruent supplements theorem?

Definition of supplementary angles: Two angles are called supplementary when they add to 180 degrees.

Congruent supplements theorem: supplements of congruent angles are congruent.

The congruent supplements theorem can be proven using the definition of supplementary angles, the definition of congruent angles, substitution, and the properties of equality. Many times, theorems are proven using related definitions (possibly along with other definitions, postulates, other theorems, substitution, and/or properties). Also, definitions do not need to be proven, but theorems need to be proven.

Here's a proof of the supplementary angles theorem.

Given: angle 1 is congruent to angle 2

angles 1 and 3 are supplementary

angles 2 and 4 are supplementary

Prove: angle 3 is congruent to angle 4

1) angle 1 is congruent to angle 2 1)Given

angles 1 and 3 are supplementary

angles 2 and 4 are supplementary

2) m angle 1 = m angle 2 2)Definition of congruent angles

3) m angle 1 + m angle 3 = 180 3)Definition of supplementary angles

m angle 2 + m angle 4 = 180

4) m angle 1 + m angle 3 = m angle 2 + m angle 4 4)Substitution (step 3 into step 3)

5) m angle 3 = m angle 4 5)Subtraction property of equality (steps 4 and 2)

6) angle 3 is congruent to angle 4 6)Definition of congruent angles

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Supplementary Angles Definition

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RE:

Whats the difference between definition of supplementary angles and congruent supplements theorem?

Like for proofs. I don't understand the difference.. I really need help thank you.

Supplementary Definition

Supplementary angles are those that add up to 180 degrees, linear

Congruent Supplements

If two angles are supplementary to the same angle (or to congruent angles) then the two angles are congruent.

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when sum of two angles is 90° they are complementary angles and when sum of two angles is 180° they are supplementary angles to remember this c come first similarly 90 comes first and s comes after similar to 180 ----

Supplement Angle Definition