Understanding Supplementary Angles
Supplementary angles are two angles whose sum is 180 degrees. If one angle is known, the other can be easily calculated.

Finding 2/3 of an Angle's Supplement
To find 2/3 of the supplement of an angle, follow these steps:

Step 1: Determine the Angle
- Let the angle be represented as **x** degrees.

Step 2: Calculate the Supplement
- The supplement of angle **x** is given by the formula:
- Supplement = 180 - x

Step 3: Calculate 2/3 of the Supplement
- To find 2/3 of the supplement:
- \( \text{2/3 of Supplement} = \frac{2}{3} \times (180 - x) \)

Example Calculation
- If **x** is 60 degrees:
- Supplement = 180 - 60 = 120 degrees
- 2/3 of Supplement = \( \frac{2}{3} \times 120 = 80 \) degrees

Conclusion
Understanding how to calculate 2/3 of an angle's supplement is essential for various mathematical applications, especially in geometry. This method can be applied to any angle to find its supplement and the desired fraction of that supplement.