Understanding Supplementary Angles | Explained with Examples

If two angles are supplements of congruent angles (or of the same angle)…

If two angles are supplements of congruent angles (or of the same angle), it means that the sum of the measures of those two angles will be 180 degrees

If two angles are supplements of congruent angles (or of the same angle), it means that the sum of the measures of those two angles will be 180 degrees. In other words, when two angles are supplementary, they add up to form a straight angle.

Let’s say we have two angles, angle A and angle B. If both angle A and angle B are supplements of congruent angles, it implies that:

Angle A + Angle B = 180 degrees

Here are a few examples to illustrate this concept:

Example 1:
Let’s say we have two congruent angles, angle X and angle Y. If angle A is the supplement of angle X, and angle B is the supplement of angle Y, then we can write the equation as:

Angle A + Angle B = 180 degrees

Example 2:
Suppose angle X measures 60 degrees. If angle A is the supplement of angle X, then angle A would measure 120 degrees since 60 + 120 = 180 degrees. Now, if angle Y is also 60 degrees, and angle B is the supplement of angle Y, then angle B would also measure 120 degrees.

Thus, in this case, Angle A + Angle B = 120 + 120 = 240 degrees.

It is important to note that if the angles are congruent, meaning they have the same measurement, you can also say that:

2 * Angle A = 180 degrees

This equation can be used when the angles are congruent, making it simpler to find the measurement of a single angle.

In summary, when two angles are supplements of congruent angles (or of the same angle), their measurements add up to form a straight angle, which is 180 degrees.

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