https://file.aiquickdraw.com/mathbot/file/1726137846369cq43xe2o.jpg

In this diagram, we are given the following information:

- \(AB \parallel CD\),
- \(\angle ADB = 80^\circ\),
- \(\angle CAD = 20^\circ\),
- \(AC = BD\), a geometric equality.

We need to find \(\angle ADC\).

### Approach:

1. **Parallel Lines and Transversals**: Since \(AB \parallel CD\), the angles created by the transversal (e.g., \(\angle CAD\)) will help us apply angle rules related to parallel lines.
   
2. **

In the diagram, AB is parallel to CD, AC is equal to BD, angle ADB is 80°, and angle CAD is 20°. What is the measure of angle ADC?

Learn how to calculate the unknown angle ADC in a geometric diagram involving parallel lines AB and CD, where AC equals BD, angle ADB is 80°, and angle CAD is 20°. This problem uses key geometry concepts such as the alternate interior angles theorem and the triangle angle sum theorem.

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