Geometry

Question Analysis:
This question involves the properties of an equilateral triangle and the concept of supplementary angles.
The main focus is to first identify the type of triangle based on the side - length information and then use angle - related properties to find the values of and .

Key Concept Explanation:
- Equilateral Triangle Properties: In an equilateral triangle, all three sides are equal, and all three interior angles are equal, each measuring .
- Supplementary Angles: Two angles are supplementary if their sum is .

Step - by - Step Solution:
1. Finding the value of :
  - Since , is an equilateral triangle.
  - By the property of an equilateral triangle, each interior angle is . So, .
2. Finding the value of :
  - (from the equilateral triangle property).
  - Angle and

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