If two angles are congruent, must their supplements be congruent?

Thank you, anyone, in advance. c[=

yes. let say angles a and b are both 50 degrees and their supplement angle must be 130 degrees in order to make 180 degrees

To determine if two angles are congruent, we compare their measures. If two angles have the same measure, they are considered congruent. So, if two angles are congruent, it means they have the same measure.

Now, let's talk about supplements. Two angles are considered supplements if their sum is 180 degrees. In other words, if you have two angles whose measures add up to 180 degrees, they are supplements of each other.

Now, coming back to your question: "If two angles are congruent, must their supplements be congruent?"

The answer is no. Congruence applies to the measures of angles, while supplements involve the sum of angle measures.

Consider two angles, both measuring 90 degrees. These angles are congruent because they have the same measure. However, their supplements do not share the same measure. Adding 90 degrees and 90 degrees gives us 180 degrees, which means they form a pair of supplementary angles. So, even though the angles are congruent, their supplements are congruent.

In general, the congruence of angles does not guarantee the congruence of their supplements. Congruence refers to the equality of angle measures, while supplements refer to the sum of angle measures.